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How do you factor $x^{3} y^{2} + 729 y^{2}$ $x^3y^2 + 729y^2$ ?

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Jun 5, 2015

$x^{3} y^{2} + 729 y^{2}$ $x^3y^2+729y^2$

Extract the common factor $y^{2}$ $y^2$
$XXXX$ $color(white)("XXXX")$ $= y^{2} (x^{3} + 9^{3})$ $=y^2(x^3+9^3)$

Factor sum of cubes
$XXXX$ $color(white)("XXXX")$ $= y^{3} (x + 9) (x^{2} - 9 x + 81)$ $=y^3(x+9)(x^2-9x+81)$

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