Answer:
[tex]\boxed{\bold{\left(3x-2\right)^2}}[/tex]
Step By Step Explanation:
[tex]\bold{\left(3x\right)^2-2\cdot \:3x\cdot \:2+2^2}[/tex]
[tex]\bold{\left(3x\right)^2-2\cdot \:3x\cdot \:2+2^2}[/tex]
[tex]\bold{\left(3x-2\right)^2}[/tex]
ANSWER
[tex]9 {x}^{2} - 12x + 4 = (3x - 2) ^{2} [/tex]
EXPLANATION
The given expression is
[tex]9 {x}^{2} - 12x + 4[/tex]
This is in the form
[tex]a {x}^{2} + bx + c[/tex]
[tex]a=9,b=-12 ,c=4[/tex]
[tex]ac=9 \times 4 = 36[/tex]
Split with -6x-6x
[tex]9 {x}^{2} - 6x - 6x + 4[/tex]
[tex] = 3x( 3x - 2) - 2(3x - 2)[/tex]
Factor further to obtain,
[tex] = (3x - 2)(3x - 2)[/tex]
[tex] = (3x - 2) ^{2} [/tex]
