factorize the following questions
1. a^8-b^8
2. 32y^4 - 162

Answers

Answer 1

Answer:

1. [tex]2(16 {y}^{4} - 81)[/tex]

2. [tex]2(2y - 3) \times (2y + 3) \times (4 {y}^{2} + 9)[/tex]

Step-by-step explanation:

1. [tex] a^{8} - {b}^{8} [/tex]

➡️ [tex]( {a}^{4} - {b}^{4} ) \times ( {a}^{4} + {b}^{4} )[/tex]

➡️ [tex]( {a}^{2} - {b}^{2} ) \times ( {a}^{2} + {b}^{2} ) \times ( {a}^{4} + {b}^{4} )[/tex]

➡️ [tex](a - b) \times (a + b) \times ( {a}^{2} + {b}^{2} ) \times ( {a}^{4} + {b}^{4} )[/tex]

➡️ [tex]2(16 {y}^{4} - 81)[/tex] ✅

---------------------------------------------------

2. [tex] 32 {y}^{4} - 162[/tex]

➡️ [tex] 2(16y^{4} - 81)[/tex]

➡️ [tex]2(4 {y}^{2} - 9) \times (4 {y}^{2} + 9)[/tex]

➡️ [tex]2(2y - 3) \times (2y + 3) \times (4 {y}^{2} + 9)[/tex] ✅


Related Questions

Donna cut a wire into 7 equal pieces. The wire was originally 9.52 meters long. How long is each piece?

Answers

Answer:

1.36

Step-by-step explanation:

9.52/7

1.36 is the length of one of the 7 equal pieces

Plz help me this is due ASAP ! Help mee

Answers

Answer:

f(x) = √x

Step-by-step explanation:


Evaluate the expression 2(x – 3) + 3y when x = 5 and y = 3.

Answers

Answer:

13

Step-by-step explanation:

2(x – 3) + 3y

Let x=5 and y = 3

2(5 – 3) + 3*3

Parentheses first

2(2) +3*3

Multiply

4+9

Add

13

2(5-3)+3(3)
4+9=13 is the answer

Solve for x. x – 23.3 = 17.8

Answers

Answer:

[tex]x - 23.3 = 17.8 \\ x = 17.8 + 23.3 \\ x = 41.1 \\ thank \: you[/tex]

Answer:

41.1

Step-by-step explanation:

halp please???????????​

Answers

Step-by-step explanation:

[tex]thank \: you[/tex]

If ya'll could help me with this one, it would be highly appreciated :]

Answers

Answer:

THE ANSWERE IS POINT B

And the scale factor is 2/6 I'm not so sure of this one :-[

Step-by-step explanation:

Please give me brainliest I did help you right?

9/5-(-6/10= reduced to the simplest form

Answers

Answer:

Since it is a double negative, you add the two together. First, you must find the LCD though. Which is 10. So you multiply the left side by 2. This comes out to 18/10 - (-6/10) but since there's two negatives, you add them, so it's 18/10 + 6/10 = 24/10 = 12/5

Step-by-step explanation:

The answer is 12/5 (top is explaining how I got there.)

Answer:

12/5

Step-by-step explanation:

9/5 - (-6/10)

Subtracting a negative is like adding

9/5 + 6/10

Simplify 6/10 by dividing the top and bottom by 2

9/5 + 3/5

12/5


Clark wants to gift some chocolates and cakes to his friends. If he has to give 18 chocolates and 12 cakes equally to the friends without any left over, find the highest number of friends to whom he can distribute the cakes and chocolates.


Answers

Answer:

6

Step-by-step explanation:

6 is the highest number that goes in to both numbers

It was recommended that students drink 48 or more ounces of water.
How could you use a histogram to easily display the number of students
who drank the recommended amount?

Answers

Histograms are used to graph the frequency of data, where the length of the bar represents the frequency.

The number of students that drank the recommended amount of water are 125

Given that

[tex]Recommended = 40\ or\ more[/tex]

The number of students who drank the recommended amount are students whose frequency (i.e. length of bars) is 40 or more

From the histogram (see attachment), only 2 bars are above the frequency of 40.

And the number of students in these bars are: 50 and 75

[tex]Total =50 + 75[/tex]

[tex]Total =125[/tex]

Hence, the number of students that drank the recommended amount of water are 125

Read more about histograms at:

https://brainly.com/question/14421716

What is 30-[9+4(8-5)]

Answers

Answer:

9

Step-by-step explanation:

30 - (9+4 x 3)

30 - (9 + 12)

30 - 21

= 9

Need help ASAP thank you

Answers

Step-by-step explanation:

RF (green) = 34/(12+14+34) = 34/60 = 0.57

What is the point-slope form of the equation for the line with a slope of −2 that passes through the point (4,−6)?

Answers

Answer:

y- - 6 = -2(x-4)

y+6 = -2(x-4)

Step-by-step explanation:

Easy for smart people

Answers

less than sign and answer A because, on the left you are multiplying 72 by a number less than 1, so the value goes down

Answer:

72 x 3/7 < 72

Step-by-step explanation:

72 x 3/7 = 30 6/7. Therefore 72 is the bigger number.

I hope this helps you out :).

divide (x^2-3x-5)/(x-4)​

Answers

Answer:

[89]<100/:

Step-by-step explanation:

Step-by-step explanation:

[tex]( {x}^{2} - 3x - 5) \div (x - 4)[/tex]

write in fraction

[tex] \frac{ {x }^{2} - 3x - 5}{x - 4} [/tex]

Solve the inequality.

2 - | 2/5x +3 | > 3/5

Answers

Answer:

Inequality form:

-11< x < -4

Interval Notation:

(-11, -4)

|-7-1| what is the result

Answers

Answer:

your answer is 8

hope this helped

Answer:

8

Step-by-step explanation:

|-7 - 1|

=> |-8|

=> 8

' | | ' represents absolute value

Absolute value of -ve number is +ve

Absolute value of +ve number is + ve

25 points for this, anyone mind helping?

Answers

Answer:

Step-by-step explanation:

hope it help u

Will mark branliest please help geometry

Answers

Answer:

C . 13

Step-by-step explanation:

9x - 16 = 7x + 10   (KL AND LM ARE SAME)

Transpose

9x - 7x = 10 +16

2x = 26

x = 26 ÷ 2

x = 13

Need help with 6 I don’t get it

Answers

Answer:

I think the answer may be C or 15

Step-by-step explanation:

Every square is a mile, I found out because there are 13 miles to get to school and it is 13 squares to get to the destination. I counted 15 squares from home to the store (I think)

If I am wrong it could be D, nonetheless its not A or B

Step-by-step explanation:

I think that should be 13 because if you draw a line from home to school it indicates that home to school and grocery store to school it's an isosceles triangle because two opposite sides of the home to school and the school to the grocery store are equal

Number x is 10% more than number y. Number y is 10% more than number z. How much percent is number z less than number x?
pls step by step​

Answers

Answer:

i hope it helped U

stay safe stay happy

#14 please geometry hw

Answers

Answer:

7/18

Step-by-step explanation:

Area of ABED = 49

Side lengths are 7, its a square

Since AD = 7, and AG = 9, DG = 2

DE = 7 and 2 x 7 = 14

14 is the area of the small blue region.

AC = 10, and AB = 7, so BC = 3

CF = BE = 7

3 x 7 = 21

21 is the area of the big blue region.

21 + 14 = 35

Area of the whole shape is 9 * 10 = 90

35/90 = 7/18

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Last week, a chocolate shop sold 3 ounces of white chocolate. It sold 2 9/10 times as much milk chocolate as white chocolate. How many ounces of milk chocolate did the shop sell?

Answers

Answer:

8.7 ounces

Step-by-step explanation:

3*(29/10)=8.7

HELP PLS :(
Which of the following is most likely the next step in the series?

Answers

Answer:

I believe its A

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

since it goes red and then blue the next step in the pattern will be Blue.  Also since it started out with just a line w/arrow, the next blue one would comeout the back of the red one with a line.  Thats my guess at least.  But it most deffinetly has to be A or C becuase the next color is blue

A circle is cut from a square piece of cloth, as shown: A square, one side labeled as 34 inches, has a circle inside it. The circle touches all the sides of the square. The portion of the square outside the circle is shaded. How many square inches of cloth are cut from the square? (π = 3.14)

Answers

Answer:  907.9 in^2

Step-by-step explanation:

The square has sides of 34 inches each.  A circle drawn in the center and touching the edges would have a diamenter of 34 inches, and thus a radius of (34/2) = 17 inches.  The area of a circle is pi*r^2.  Area = 3.14*(17)^2.  

Area of the circle = 907.9 in^2  That is the material cut from the square.

Find the value of x,y and z

Answers

Answer:

hope it helps, appreciate if you can give brainliests

i need this in less than 5 minutes :((

Answers

Answer:

5!=120 ways

Step-by-step explanation:

1st colour 5 ways

2nd colour 4 ways

3rd colour 3 ways

4th colour 2 ways

5th colour 1 way

total no of ways = 5 × 4 × 3 × 2 ×1 =5! = 120 ways

i dont know how to solve this

Answers

Answer:

x° = 43°x° = 51°x° = 86°

Step-by-step explanation:

Given,

x + ( x + 8) + 2x = 180° [Since angle sum property of triangle]

=> x + x + 8 + 2x = 180

=> 4x + 8 = 180

=> 4x = 180 - 8

=> 4x = 172

[tex] = > x = \frac{172}{4} [/tex]

=> x = 43

As,

We got value of x as 43 so,

x° = 43°

x° = 43 + 8 = 51°

x° = 2 × 43 = 86°

Answer:

180

Step-by-step explanation:

58-(1/4)2 i dont get how to solve this

Answers

Answer:

57.5

Step-by-step explanation:

First you would have to multiply following PEMDAS so

(1/4)(2)

=0.5

Then subtract 58 and 0.5

58-0.5

=57.5

and thats your answer

Answer:

57.5 or 57 1/2

Step-by-step explanation:

1. Start with 1/4*2 due to the ”order of operation rules”. You then get 1/2.

2. Then, continue to do 58-1/2 to get 57.5 or 57 1/2

Use the expression
4
3
+
8

9
y
4
3
+8−
y
9

4, cubed, plus, 8, minus, start fraction, 9, divided by, y, end fraction to find a sum

Answers

Answer:

I don't know to be honest

Which expression is equivalent to -9a – 10 – 6a + 7?

Answers

Answer: a =  - 1/5 or a = -0.2

Step-by-step explanation:

-9a – 10 – 6a + 7 = 0

>> -9a-6a = 10-7

>> -15a = 3

>> -15a/ - 15 =3 / - 15 ( divide by -15 both side)

>> a = - 1/5 or -0.2

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