9x^2-12x+4?

Question

How do you factor the perfect square trinomial?

Answer 1

9x^2-12x+4
(3x)^2 -2(3x)(2) +2^2
as a^2+b^2-2ab = (a-b)^2
=(3x-2)^2

Answer 2

hi....do you know the foil method?

I came up with the answer being (3x-2) the quanitity squared.

the original problem 9x^2 - 12x + 4

I asked myself what makes 9x^2 and I said

(3x ) (3x )

then after trying factors of 12 and it not leading anywhere suchs as 12 / 1 3/ 4 6 /2 .....i tried factors of 4....such as 4 / 1 and 2 / 2

well finally 2 and 2 was right

also i had to have things that when multipled gave a difference of -12x and +4

anyway after a little fooling around i came up with 3x-2 times 3x-2 :)

The foil method means first outer inner last .....used when multiplying these things...the fact that they tell you it's a perfect square means that the answer is going to be something times itself...and in this case the answer is 3x-2 times itself....

I tried my best for ya....good luck

John

Answer 3

A perfect square trinomial factors into two identical binomials. The first term of each binomial if the square root of the first term of the trinomial. The second term is either the positive square root or the negative square root of the third term. How do you decide? Look at the sign of the middle term of the trinomial. When you get your two identical binomials. Multiple them thgether to check.

Answer 4

it is simply (3x-2)^2 by using the identity a^2 + b^2 +2ab = (a+b)^2

Answer 5

(3x-2)^2

Answer 6

(3x - 2) (3x - 2) = (3x - 2) ²

Answer 7

(3x-2)(3x-2)