How do you multiply (6x-4)(7x^2+x-4)?

1 Answer
Jim G.
Mar 21, 2017

42x^3-22x^2-28x+16

Explanation:

We must ensure that each term in the second bracket is multiplied by each term in the first bracket. This can be done as follows.

(color(red)(6x-4))(7x^2+x-4)

=color(red)(6x)(7x^2+x-4)color(red)(-4)(7x^2+x-4)

distribute and simplify.

=42x^3+6x^2-24x-28x^2-4x+16

=42x^3+(6x^2-28x^2)+(-24x-4x)+16

=42x^3-22x^2-28x+16

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