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Chapter 11: Q28. (page 729)

Find each product or quotient.

6x2y412鈰�3x3y2xy

Short Answer

Expert verified

The final product of the expression is 3x4y52.

Step by step solution

01

Step 1. Define the concept.

Multiplying rational expression: - Let a, b, c, and d be polynomials withb鈮�0 and d鈮�0. Then .ab鈰�cd=acbd

Dividing rational expression: - Let a, b, c, and d be polynomials with b鈮�0,role="math" localid="1648047585675" c鈮�0 and d鈮�0. Then ab梅cd=ab鈰�dc=adbc.

02

Step 2. Divide by the common factors before multiplying.

Divide by the common factors 6, x and y.

6x2y412鈰�3x3y2xy

03

Step 3. Simplify the expression.

Further simplify the expression.

6x2y412鈰�3x3y2xy=xy32鈰�3x3y2=3x4y52

Therefore, the final product of the expression is 3x4y52.

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