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Chapter 7: Q. 130 (page 668)

In the following exercises, perform indicated operations.

2t-30t2+6t-27-23-t

Short Answer

Expert verified

The resultant expression is4t+9.

Step by step solution

01

Step 1. Given Information

The given expression is2t-30t2+6t-27-23-t.

02

Step 2. Express with LCD

  • The LCD of the given terms is t+9t-3.
  • Express the given expression with the LCD.

localid="1646140499486" 2t-30t2+6t-27-23-t=2t-30t+9t-3--2t+18t+9t-3

03

Step 3. Simplify

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

2t-30+2t-18t+9t-3=4t-12t+9t-3

  • Factor the numerator and cancel out the common factor from numerator and denominator.

4t-3t+9t-3=4t+9

  • So, the resultant expression is4t+9

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