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

Sagot :

we have the expression

[tex]\begin{gathered} 9p^2+6p+1-q^2 \\ (9p^2+6p)+(1-q^2) \\ 9(p^2+\frac{2}{3}p)+(1-q^2) \\ 9(p^2+\frac{2}{3}p+\frac{p^2}{9})-p^2+(1-q^2) \\ 9(p+\frac{p}{3})^2+(1-q)(1+q)-p^2 \end{gathered}[/tex]