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Is 9x^2 + 12xy + 9y^2 a perfect square trinomial?
Is 9x^2 + 12xy + 9y^2 a perfect square trinomial?
Yes
No
4 Answers
- gudspelingLv 71 decade agoFavorite Answer
(a+b)² = a²+2ab+b²
9x² + 12xy + 9y²
= (3x)² + 2(3x)(3y) + (3y)² - 6xy
= (3x+3y)² - 6xy
It is clearly not a perfect square
- Anonymous1 decade ago
Maybe. Factor out the 9's, giving 9(x^2 + 4/3 xy + y^2). The 9 is a square, but for the trinomial to be a square, the center coefficient must be twice the square root of the last coefficient, which it isn't. So it is not a perfect square.
- Anonymous1 decade ago
No it is not.
It would be a pefect square if it was 9xy instead of 12xy.
