Question

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

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}`

Answer 2

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

Step-by-step 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 * 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)`