Question

Find the product and simplify your answer -8w(6w^5-5w+5)

Answer 1

$-8w(6w^5-5w+5)=-8w(6w^5)-8w(-5w)-8w(5)\\\\=(-8\cdot6)(w\cdot w^5)-(8\cdot-5)(w\cdot w)-(8\cdot5)(w)\\\\=\boxed{-48w^6+40w^2-40w}\\----------------------------\\used:\\distributive\ property:\ a(b\pm c)=ab\pm ac\\commutative\ property:\ a\cdot b=b\cdot a\\associative\ property: a\cdot(b\cdot c)=(a\cdot b)\cdot c\\a^n\cdot a^m=a^{n+m}$

Answer 2

(−8w)(6w^5−5w+5)

=(−8w)(6w^5+−5w+5)

=(−8w)(6w^5)+(−8w)(−5w)+(−8w)(5)

=−48w^6+40w^2−40w