How do you simplify $-y^2(3y-5)$ ?

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Answer 1 · 2015-10-10T05:19:08

$-y^2(3y-5)=color(green)(-3y^3 + 5y^2$

$color(blue)(a*(b-c) = a*b - a*c$ ---- (Distributive Property)

Applying it to the given expression,
$-y^2(3y-5) = -y^2(3y) - (-y^2)(5)$

We also know that $color(blue)(a^m*a^n = a^(m+n)$

Hence the expression will be:

$-3y^(2+1) + 5y^2$

$=color(green)(-3y^3 + 5y^2$

How do you simplify -y^2(3y-5)-y^2(3y-5)?