Question

16x^4 - 144x^2 How to factorise this question and which identity should we use

Answer 1

The factored form of given expression is:

$16x^2(x-3)(x+3)$

Step-by-step explanation:

The identity that can be used to factorize the given expression is:

$a^2-b^2 = (a+b)(a-b)$

Given

$16x^4-144x^2$

As 16 is a factor of both terms

$=16x^2(x^2-9)$

Using the identity

$=16x^2[(x)^2-(3)^2]\\=16x^2[(x-3)(x+3)]$

Hence,

The factored form of given expression is:

$16x^2(x-3)(x+3)$

Keywords: Factorization, polynomials

Learn more about polynomials at:

• brainly.com/question/9762331
• brainly.com/question/9723881

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