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545 - Review Exercises

Elementary Algebra
Found in: Page 1025
Elementary Algebra

Elementary Algebra

Book edition 2nd
Author(s) Lynn Marecek, MaryAnne Anthony-Smith
Pages 1240 pages
ISBN 9780998625713

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Short Answer

Subtract Rational Expressions with a Common Denominator

In the following exercises, subtract.

4q2-q+3q2+6q+5 - 3q2+q+6q2+6q+5.

The answer is q-3q+5.

See the step by step solution

Step by Step Solution

Step 1. Given Information.


4q2-q+3q2+6q+5 - 3q2+q+6q2+6q+5 having same denominator.

Step 2. Solving the given expression.

As the denominator is same so we can directly subtract the numerators:4q2-q+3q2+6q+5 - 3q2+q+6q2+6q+5 = 4q2-q+3 - (3q2+q+6)q2+6q+5= 4q2-q+3 - 3q2-q-6q2+6q+5 = q2-2q-3q2+6q+5 = (q+1)(q-3)(q+1)(q+5) = q-3q+5.

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