1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nuetrik [128]
2 years ago
7

36a^(4)b^(10)-81a^(16)b^(20) factor the given expression using the difference of squares pls

Mathematics
1 answer:
ozzi2 years ago
5 0

The factorized expression using difference of squares is as follows,

9a²b⁵ (2+3a⁶b⁵)(2-3a⁶b⁵)

Difference of Squares

Difference of squares is a factorization method where an expression can be factored as (a + b) (a - b) when considered as the difference of two perfect squares,  a²-b². For instance, factoring x²-25 results in (x+5) (x-5). By enlarging the parentheses in (a + b) (a - b), the pattern (a + b) (a - b)=a²-b² is used as the foundation for this technique.

Factorization Using Difference of Squares

Given expression is,

36a⁴b¹⁰ - 81a¹⁶b²⁰

= (6a²b⁵)² - (9a⁸b¹⁰)²

Using square of differences, we have

a² - b² = (a + b) (a - b)

Here, a = 6a²b⁵ and b = 9a⁸b¹⁰

Thus, we get,

(6a²b⁵ + 9a⁸b¹⁰)(6a²b⁵ - 9a⁸b¹⁰)

Further Factorization

We can take out 3 common from both the bracket terms after applying difference of squares

3×3(2a²b⁵ + 3a⁸b¹⁰)(2a²b⁵ - 3a⁸b¹⁰)

= 9(2a²b⁵ + 3a⁸b¹⁰)(2a²b⁵ - 3a⁸b¹⁰)

Further, we can take out a²b⁵ as common from both the bracket terms

= 9a²b⁵ (2+3a⁶b⁵)(2-3a⁶b⁵)

Learn more about difference of squares here:

brainly.com/question/11801811

#SPJ4

You might be interested in
The ratio of cake to cookies is 1:10. If there are 60 cookies, how many cakes are there?
sesenic [268]

Answer:

there are 6 cakes if there are 60 cookies

Step-by-step explanation:

1:10

60÷10=6

1:10 (multiply both sides by 6)

6:60 there are 6 cakes

3 0
3 years ago
Given angle ABC shown on the coordinate plane below.
Crank

The attached image shows the image of A"B"C" after the transformation

<h3>What is the transformation of the triangle about?</h3>

The transformation rule states:

A"B"C" = Ro90° (T(-4,3)(ABC))

This implies that one need to rotate the triangle in a 90⁰ clockwise direction, and then one need to translate the triangle.

Using the image shown, the coordinates of ABC are;

A = (-1, 2)

B = (1, 4)

C = (3, -1)

The 90⁰ rule clockwise rotation  will be:

(x,y) -- (y,-x)

So, when translated, it will be:

A' = (2, 1)

B' = (4, -1)

C' = (-1, -3)

Then the translation of the triangle using T(-4,3):

(x, y) -  (x - 4, y + 3)

So, there is:

A'' = (-2, 4)

B'' = (0, 2)

C'' = (-5, 0)

Learn more about transformation from:

brainly.com/question/28108536

#SPJ1

6 0
1 year ago
2) Prove that these two lines are parallel:
borishaifa [10]

Answer:

if the two lines have the same slope that means they are parallel

3 0
3 years ago
Answer the question above.
Shtirlitz [24]
Please upload the question and i will work it out, have a lovely day!
8 0
3 years ago
I need help on math ​
Viefleur [7K]

Answer:

its the first one

Step-by-step explanation:

i have no step by step explanation

7 0
2 years ago
Other questions:
  • A/14=6.8<br><br><br>Please help me?
    13·2 answers
  • What is a situation in which you might locate points on a coordinate grid?
    9·1 answer
  • Vector u has its initial point at (21, 12) and its terminal point at (19, -8). Vector v has a direction opposite that of u, whos
    7·1 answer
  • A man can run a mile in 4 minutes. calculate his average speed in kilometers per hour. show your work. (1 mile = 1.61 km)
    13·1 answer
  • How you can know a fraction is equivalent to another fraction
    7·2 answers
  • On a piece of paper, draw a box plot to represent the data below. Then
    8·1 answer
  • If h=xtan60* and h=(40-x)tan30* how do i find h
    10·1 answer
  • Can somebody help me with this please!
    12·2 answers
  • 8 - 8x = 3(.2 - x) what does x represent
    6·1 answer
  • Nuka is weaving beaded strips. The double number line shows that they can weave 7 \,\text{cm}7cm7, start text, c, m, end text of
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!