Question

What is the expression in factored form? 9x^2-4 please shows steps

Answer 1

This expression can be factorized using the difference of squares which can be illustrated as follows:
A^2 - B^2 = (A+B)(A-B)

In the given example:
sqrt(9x^2) = 3x
sqrt(4) = 2
and the two squares are separated by a negative sign
Therefore, the difference of squares is applicable

Based on this, factoring the given expression would give us:
9x^2 - 4 = (3x+2)(3x-2)

Answer 2

$9x^{2}-4$ given
Use the difference of squares theorom. i.e.$a^{2}-b^{2}=(a+b)(a-b)$.
In this case, a is 3x (the sqaure root od $9x^{2}$) and b is 2(the sqaure root of 4). So we have:
$(3x-2)(3x+2)$