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Chapter 11: Q24. (page 728)

Simplify each expression.

3x33x3+6x2

Short Answer

Expert verified

The simplified expression isxx+2.

Step by step solution

01

Step 1. Define rational expression.

A rational expression is an algebraic expression whose numerator and denominator are polynomials. Also, division by 0 is undefined, so therefore, the polynomials in the denominator cannot be zero and the values for which the denominator is zero is termed as excluded values for the respective rational expression.

02

Step 2. Factor the expression.

Factor the numerator and denominator, using their greatest common factor in the expression 3x33x3+6x2.

3x33x3+6x2=3x2x3x2x+2

03

Step 3. Simplify the expression.

Further simplify the expression.

3x33x3+6x2=3x2x3x2x+2=xx+2

Therefore, the simplified expression is xx+2.

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