Question

Select the correct answer. Which expression is equivalent to this polynomial? 9x^2 - 4

Answer 1

Step-by-step explanation:

Given expression is :

$9x^2-4$

We can write it as :

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

Now using identity : $a^2-b^2=(a-b)(a+b)$

Here, a = 3x and b = 2

So,

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

Hence, the given expression is equivalent to (3x - 2)(3x + 2) .