How do you factor by grouping $3x^3 y - 9x^3 + 6x^2 y - 18x^2$ ?

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Answer 1 · 2015-05-04T16:52:34

$3x^3y-9x^3+6x^2y-18x^2$

$= color(red)((3x^3y-9x^3)) + color(blue)((6x^2y-18x^2))$

$= color(red)((3x^3)(y-3)) + color(blue)((6x^2)(y-3))$

$=(3x^3+6x^2)(y-3)$

$=(3x^2)(x+2)(y-3)$

How do you factor by grouping 3x^3 y - 9x^3 + 6x^2 y - 18x^23x^3 y - 9x^3 + 6x^2 y - 18x^2?