The area of a square is (4x2 − 12x + 9) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work.

Question

midhun.madhu1987 · Answer

4x2 − 12x + 9

= (2x)^2 - 2 * 2x * 3 + 3^2

= ?

egracer · Answer

do i combine like terms or?

midhun.madhu1987 · Answer

The above equation is of the a^2 - 2ab + b^2

So what is the factor?

egracer · Answer

how do I know what the factor is? like how do i find it

midhun.madhu1987 · Answer

a^2 - 2ab + b^2 this is the expansion of which expression??

hybrik · Answer

For this, this is a perfect square trinomial

hybrik · Answer

4x2 − 12x + 9, Look at the first term and last term, the formula for this is $$a^2 + 2ab + b^2$$

egracer · Answer

4x2-12X+9

hybrik · Answer

To factor this, you need to knowthe square root of 4x^2 and 9, Do you know what they are?

egracer · Answer

3