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)`