Question

Multiply and Simplify
(x-4)(x^2 - 5x - 6)

Answer 1

(x−4)(x^2−5x−6)

=(x+−4)(x^2+−5x+−6)

=(x)(x^2)+(x)(−5x)+(x)(−6)+(−4)(x^2)+(−4)(−5x)+(−4)(−6)

=x^3−5x^2−6x−4x^2+20x+24

=x^3−9x^2+14x+24

Answer 2

x^3 -9x^2 +14x +24

Explanation:

(x-4)(x^2 - 5x - 6)

Multiply the x by everything in the second term

x * (x^2 - 5x - 6)

x^3 -5x^2 -6x

Multiply the -4 by everything in the second term

-4 * (x^2 - 5x - 6)

-4x^2 +20x +24

Add everything together

I like to line them up vertically

x^3 -5x^2 -6x

-4x^2 +20x +24

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x^3 -9x^2 +14x +24