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Mathematical Applications for the ...

12th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781337625340

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BuyFindarrow_forward

Mathematical Applications for the ...

12th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781337625340
Textbook Problem

Use the following factorization formulas involving cubes to factor each expression in Problems 49-56.

Factorizations with cubes
Perfect cube a 3 + 3 a 2 b + 3 a b 2 + b 3 = ( a + b ) 3 Perfect cube a 3 3 a 2 b + 3 a b 2 b 3 = ( a b ) 3 Difference of two cubes a 3 b 3 = ( a b ) ( a 2 + a b + b 2 ) Sum of two cubes a 3 + b 3 = ( a + b ) ( a 2 a b + b 2 )

x 3 + 6 x 2 + 12 x + 8

To determine

To calculate: The factored form of the expression x3+6x2+12x+8 by using the factorization formulas involving cubes.

Explanation

Given Information:

The given expression is x3+6x2+12x+8.

Formula used:

Perfect cube:

a3+3a2b+3ab2+b3=(a+b)3.

Calculation:

The given polynomial x3+6x2+12x+8

is of degree 3

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