Question

What is the expression in factored form? 9x^2-12x+4​

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

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

Answer 2

ANSWER

$9 {x}^{2} - 12x + 4 = (3x - 2) ^{2}$

EXPLANATION

The given expression is

$9 {x}^{2} - 12x + 4$

This is in the form

$a {x}^{2} + bx + c$

$a=9,b=-12 ,c=4$

$ac=9 \times 4 = 36$

Split with -6x-6x

$9 {x}^{2} - 6x - 6x + 4$

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

Factor further to obtain,

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

$= (3x - 2) ^{2}$