Question
Solve:$x^2+2 x+1-9 y^2$
✓
Answer
$x^2+2 x+1-9 y^2$
$=\left(x^2+2 x+1\right)-9 y^2$
$=\left(x^2+2 \times x \times 1+1\right)-9 y^2$
$=(x+1)^2-(3 y)^2$
$= [(x + 1) - 3Y][(X + 1) - 3y]$
$= (x + 1 - 3y)(x + 1 + 3y)$
$= (x + 3y + 1)(x - 3y + 1)$
$=\left(x^2+2 x+1\right)-9 y^2$
$=\left(x^2+2 \times x \times 1+1\right)-9 y^2$
$=(x+1)^2-(3 y)^2$
$= [(x + 1) - 3Y][(X + 1) - 3y]$
$= (x + 1 - 3y)(x + 1 + 3y)$
$= (x + 3y + 1)(x - 3y + 1)$
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