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Chapter 7: Q. 116 (page 668)

In the following exercises, perform indicated operations.

4cd+3c+1d2-9

Short Answer

Expert verified

The resultant expression is4d-12+cc(d+3)(d-3).

Step by step solution

01

Step 1. Given Information

The given expression is4cd+3c+1d2-9.

02

Step 2. Express with common denominator    

  • Factor the denominators of the given expression.

4c(d+3)+1(d-3)(d+3)

  • The LCD of the terms of obtained expression is c(d-3)(d+3).
  • Multiply the numerator and denominator of first term by (d-3)and second term by c.

role="math" localid="1645430059123" 4(d-3)c(d+3)(d-3)+1(c)(d-3)(d+3)(c)=4d-12c(d+3)(d-3)+cc(d-3)(d+3)

03

Step 3. Simplify

  • As the denominator is the same for both the terms, perform addition in the numerator and place it over the common denominator.

4d-12+cc(d+3)(d-3)

  • So, the resultant expression is 4d-12+cc(d+3)(d-3).

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