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Chapter 11: Q12. (page 731)

Simplify each expression.

a鈭�4a2+6a+8a2鈭�3a鈭�4a2鈭�a鈭�6

Short Answer

Expert verified

(a鈭�3)(a+4)(a+1)

Step by step solution

01

Step 1. Division expression.

Write as a division expression.

a鈭�4a2+6a+8梅a2鈭�3a鈭�4a2鈭�a鈭�6

02

Step 2. Divide.

To divide, multiply by the reciprocal.

a鈭�4a2+6a+8鈰�a2鈭�a鈭�6a2鈭�3a鈭�4

03

Step 3. Factor.

Factor the given expression and simplify.

a鈭�4a+2a+4鈰�a+2a鈭�3a鈭�4a+1=a鈭�3a+4a+1

Therefore, a鈭�4a2+6a+8a2鈭�3a鈭�4a2鈭�a鈭�6can be simplified as a鈭�3a+4a+1.

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Most popular questions from this chapter

Simplify each expression.

3x33x3+6x2

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y=32x+4

Determine whether each table or equation represents an inverse or a direct variation. Explain.

xy=4

Solve. Assume thaty varies inversely as x.

Ify=1.5 when x=6, findy when x=鈭�16.

State the excluded value for each function.

y=鈭�12x+8
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