Question

What is the expression in factored form 9x2-4?

Answer 1

9 and 4 are perfect squares, so factor them accordly .

(3x + 2)(3x - 2)

By factoring this way, the middle term is canceled out. Hope this helps you!

Answer 2

The expression in factored form is expressed as $(3x+2)(3x-2)$

Given the expression 9x² - 4

This can also be written as;

$9x^2 - 4\\(3x)^2 - 2^2$

According to the difference of two square:

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

Comparing both expressions, we can see that a = 3x and b = 2

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

Hence the expression in factored form is expressed as $(3x+2)(3x-2)$

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