Question

Factor 9y^2 +6p +1 -q^2

Answer 1

we have the expression

`\begin{gathered} 9p^2+6p+1-q^2 \\ (9p^2+6p)+(1-q^2) \\ 9(p^2+(2)/(3)p)+(1-q^2) \\ 9(p^2+(2)/(3)p+(p^2)/(9))-p^2+(1-q^2) \\ 9(p+(p)/(3))^2+(1-q)(1+q)-p^2 \end{gathered}`