Question
Evaluate:$ - 4y (15 + 12y - 8z) (x - 2y)$
✓
Answer
$- 4y (15 + 12y - 8z) (x - 2y)$
$= - 4y (x - 2y)(15x + 12y - 8z)$
$= (- 4xy + 8y^2)(15x + 12y - 8z)$
$= - 4xy (15x + 12y - 8z) + 8y^2 (15x +12y - 8z)$
$= -60x^2y - 48xy^2 + 32xy + 120xy^2 + 96y^3 - 64y^2z$
$= -60x^2y - 48xy^2 + 120xy^2 - 64y^2z + 96y^3 + 32xy$
$= -60x^2y + 72xy2 - 64y^2z + 96y^3 + 32xyz$
$= - 4y (x - 2y)(15x + 12y - 8z)$
$= (- 4xy + 8y^2)(15x + 12y - 8z)$
$= - 4xy (15x + 12y - 8z) + 8y^2 (15x +12y - 8z)$
$= -60x^2y - 48xy^2 + 32xy + 120xy^2 + 96y^3 - 64y^2z$
$= -60x^2y - 48xy^2 + 120xy^2 - 64y^2z + 96y^3 + 32xy$
$= -60x^2y + 72xy2 - 64y^2z + 96y^3 + 32xyz$
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