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

1 Answer
Alan P.
May 9, 2015

(x+8)(x^2−7x−3)(x+8)(x2−7x−3)

There are several ways to do this.
One method is to separate the two terms of the first factor and multiply the second factor by each separately before recombining:

(color(red)(x)+color(blue)(8))(x^2−7x−3)(x+8)(x2−7x−3)

=color(red)(x(x^2-7x-3)) + color(blue)(8(x^2-7x-3))=x(x2−7x−3)+8(x2−7x−3)

= color(red)(x^3-7x^2-3x) + color(blue)(8x^2-56x-24)=x3−7x2−3x+8x2−56x−24

= x^3 +x^2-59x-24=x3+x2−59x−24

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