Question

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

Answer 1

`\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}`