College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter P - Prerequisites: Fundamental Concepts of Algebra - Exercise Set P.4 - Page 62: 108

Answer

The statement $(x-5)^2=x^2-5x+25$ is false. The correct statement is $(x-5)^2=x^2-10x+25$.

Work Step by Step

The square of a binomial can be found using the formula $(a-b)^2=a^2-2ab+b^2$. $$(x-5)^2=x^2-2(x)(5)+5^2$$ $$=x^2-10x+25$$ The statement $(x-5)^2=x^2-5x+25$ is false because the second term is incorrect. The correct statement is $(x-5)^2=x^2-10x+25$.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.