College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter P, Prerequisites - Section P.7 - Rational Expressions - P.7 Exercises: 5

Answer

(a) Yes (b) No

Work Step by Step

(a) Yes, these expressions are equal because: $\displaystyle \frac{x(x+1)}{(x+1)^{2}}=\frac{x}{x+1}.$ (b) No. If we square both sides, we get: $(x+5)^{2}=x^2+25$ But this is not true, since: $(x+5)^2=x^{2}+10x+25\neq x^{2}+25$
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