Question

Please help me with this question my son is having trouble understanding Factor.9x^2+66xy+121y^2 Enter your answer in the box.

Answer 1

Given:

$9x^2+66xy+121y^2$

Sol:

$(a+b)^2=a^2+b^2+2ab$

Compare with given equation then:

$\begin{gathered} (9x^2+66xy+121y^2)=(a^2+2ab+b^2) \\ a^2=9x^2 \\ a=3x \\ b^2=121y^2 \\ b=11y \end{gathered}$

So factore is:

$(3x+11y)^2=(3x+11y)(3x+11y)$