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Completely Factor 4x^2+12xy+9y^2?
Need help with a homework problem: Factor 4x^2 + 12xy + 9y^2
I know the answer is 4x^2 + 3 (3y^2 + 4 + xy) but I need help with the steps to get there. Please, anyone! Thanks! :)
3 Answers
- Anonymous1 decade agoFavorite Answer
4x^2 + 12xy + 9y^2 is a perfect square trinomial.
(2x + 3y)^2 = 4x^2 + 12xy + 9y^2
The answer you offer is not correct !
QED
- 1 decade ago
k basically notice that its a perfect square (a^2 +2ab + b^2)
a^2 = 4x^2
a = root(4x^2)
a=2x
b^2 = 9y^2
b = root(9y^2)
b=3y
so to factor it, it would be (a+b)^2
so (2x+3y)^2
- chanljkkLv 71 decade ago
not 4 + xy but 4xy. You had a typo.
(2x + 3y)^2
square it, you get the original equation.
