Math, asked by arya2192, 1 year ago

Factorise 36a^4 - 97a^2b^2 +36b^4

Answers

Answered by madhura20
40
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Answered by pinquancaro
36

36a^4 - 97a^2b^2 +36b^4=(2a+3b)(2a-3b)(3a+2b)(3a-2b)

Step-by-step explanation:

Given : Expression 36a^4 - 97a^2b^2 +36b^4

To find : Factories the expression ?

Solution :

Expression 36a^4 - 97a^2b^2 +36b^4

Applying middle term split,

36a^4 - 16a^2b^2-81a^2b^2+36b^4

4a^2(9a^2-4b^2)-9b^2(9a^2-4b^2)

(4a^2-9b^2)(9a^2-4b^2)

((2a)^2-(3b)^2)((3a)^2-(2b)^2)

Apply identity, a^2-b^2=(a+b)(a-b)

(2a+3b)(2a-3b)(3a+2b)(3a-2b)

The factorization form is

36a^4 - 97a^2b^2 +36b^4=(2a+3b)(2a-3b)(3a+2b)(3a-2b)

#Learn more

Factorise  36a^2 +36a + 9

https://brainly.in/question/7150628

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