Question

Simplylify . final answer should be written in standard form.4(2−3w)(w^2−2w+10)

Answer 1

we have

4(2−3w)(w^2−2w+10)​

Apply distributive property

4{2w^2-4w+20-3w^3+6w^2-30w}

4{-3w^3+8w^2-34w+20}

-12w^3+32w^2-126w+80

Apply distributive property

(2−3w)(w^2−2w+10)=(2)(w^2)+(2)(-2w)+(2)(10)-3w(w^2)-3w(-2w)-3w(10)​

(2−3w)(w^2−2w+10)=2w^2-4w+20-3w^3+6w^2-30w

4{2w^2-4w+20-3w^3+6w^2-30w}

4{-3w^3+8w^2-34w+20}

-12w^3+32w^2-126w+80