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5 votes
Multiply (x-4)(x^2-5x-6) ...?

User Laffuste
by
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2 Answers

5 votes
See attached photo for answer.
Multiply (x-4)(x^2-5x-6) ...?-example-1
User Leopold Stotch
by
6.7k points
4 votes

Answer:

The answer is:
x^3-9x^2+14x+24

Explanation:

The given expression is:
(x-4)(x^2-5x-6)

For getting the product, we need to distribute
(x-4) with each term in the second parenthesis
. So.....


(x-4)(x^2-5x-6)\\ \\ =x^2(x-4)-5x(x-4)-6(x-4)\\ \\ =x^3-4x^2-5x^2+20x-6x+24 \ [using\ distribution\ rule]\\ \\ =x^3-9x^2+14x+24\ [combining\ like\ terms]

So, the answer is:
x^3-9x^2+14x+24

User Feras Al Sous
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7.5k points