How do you simplify #(x + 8)(x^2 - 7x -3)#?

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Answer 1 · 2018-03-06T22:49:15

Basic simplification leads to the following answer:

#x^3+x^2-52x-24 #

By using basic distributive law:

#= (x+8)(x^2 -7x-3)#

#=(x*x^2)+(x*-7x)+(x*-3)+(8*x^2)+(8*-7x)+(8*-3)#

yields

#x^3 - 7x^2 - 3x + 8x^2 -56x -24#

Simplifying that further by collecting like terms gets you the final answer:
#x^3+x^2-52x-24 #