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How do you factor $x = 4 y^{2} + 16 y + 16$ $x= 4y^2 + 16y + 16$ ?

1 Answer

Dec 28, 2015

$\times x x = 4 {(y + 2)}^{2}$ $color(white)(xxx)x=4(y+2)^2$

Explanation:

$\times x = 4 y^{2} + 16 y + 16$ $color(white)xxx=4y^2+16y+16$
$\times x = 4 (y^{2} + 4 y + 4)$ $color(white)(xxx)=4(y^2+4y+4)$
$\times x = 4 {(y + 2)}^{2}$ $color(white)(xxx)=4(y+2)^2$

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