Question

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

Answer 1

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

Explanation:

`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`