Question

Factor the expression 4x^2 +12x -72

Answer 1

Answer:

$\boxed{\bold{\left(3x-2\right)^2}}$

Step By Step Explanation:

Rewrite $\bold{9x^2-12x+4}$

$\bold{\left(3x\right)^2-2\cdot \:3x\cdot \:2+2^2}$

Rewrite Equation

$\bold{\left(3x\right)^2-2\cdot \:3x\cdot \:2+2^2}$

Apply Perfect Square Formula $\bold{\left(a-b\right)^2=a^2-2ab+b^2: \ a=3x,\:b=2}$

$\bold{\left(3x-2\right)^2}$