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Find each product or quotient.

3x6x29x+3x22x

Short Answer

Expert verified

The final product of the expression is 3xx3.

Step by step solution

01

Step 1. Define the concept.

Multiplying rational expression: - Let a, b, c, and d be polynomials withb0 and d0. Then abcd=acbd.

Dividing rational expression: - Let a, b, c, and d be polynomials with b0,c0 and d0. Then ab÷cd=abdc=adbc.

02

Step 2. Divide by the common factors before multiplying.

First factor the numerator and denominator of both the rational expressions.

3x6x29x+3x22x=3x2x3x+3x+3xx2

03

Step 3. Simplify the expression.

Further simplify the expression by dividing by the common factors x-2, and x+3.

role="math" localid="1648048255063" 3x6x29x+3x22x=3x2x3x+3x+3xx2=3x31x=3xx3

Therefore, the final product of the expression is 3xx3.

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