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Chapter 11: Q11. (page 735)

Simplify the complex fraction. Show your work.

5x鈭�3x鈭�6x2鈭�x鈭�6

Short Answer

Expert verified

The simplified complex fraction is 5x+2x鈭�6.

Step by step solution

01

Step 1. State the concept of complex fractions. 

In a complex fraction, abcd=adbc, wherein there are one or more fractions in the numerator and denominator where role="math" localid="1648022780063" a,b,c, and d can be numbers or polynomials.

02

Step 2. Simplify the expression by multiplying with the reciprocal. 

First, multiply the numerator with the reciprocal of the denominator and then further simplify.

5x鈭�3x鈭�6x2鈭�x鈭�6=5x鈭�3梅x鈭�6x2鈭�x鈭�6=5x鈭�3脳x2鈭�x鈭�6x鈭�6

03

Step 3. Simplify the expression.

To further simplify factor x2鈭�x鈭�6and cancel out the common terms.

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