How do you simplify #2x ^ { 3} ( - 8x ^ { 2} + 2x - 9)#?

1 Answer
Sep 11, 2017

#-16x^5 + 4x^4 - 18x^3#

Explanation:

To simplify, we need to distribute the #2x^3# to put the polynomial expression in standard form.

#2x^3(-8x^2+2x-9) ->#

#(2x^3)*(-8x^2) + (2x^3*2x) - (2x^3)(9) ->#

#-16x^5 + 4x^4 - 18x^3#