How do you simplify (x + 8)(x^2 - 7x -3)(x+8)(x2−7x−3)?

1 Answer
Aedarth
Mar 6, 2018

Basic simplification leads to the following answer:

x^3+x^2-52x-24 x3+x2−52x−24

Explanation:

By using basic distributive law:

= (x+8)(x^2 -7x-3)=(x+8)(x2−7x−3)

=(x*x^2)+(x*-7x)+(x*-3)+(8*x^2)+(8*-7x)+(8*-3)=(x⋅x2)+(x⋅−7x)+(x⋅−3)+(8⋅x2)+(8⋅−7x)+(8⋅−3)

yields

x^3 - 7x^2 - 3x + 8x^2 -56x -24x3−7x2−3x+8x2−56x−24

Simplifying that further by collecting like terms gets you the final answer:
x^3+x^2-52x-24 x3+x2−52x−24

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