Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 8 - Polynomials and Factoring - 8-4 Multiplying Soecial Cases - Practice and Problem-Solving Exercises - Page 508: 53


Please see "step-by-step"

Work Step by Step

Areas of (blue square) + 2(green rectangles) +(yellow square) equals the area of the square with side $a$: $(a-b)^{2}+2b(a-b)+b^{2}=a^{2}$ ... subtract $2b(a-b)+b^{2}$ from both sides $(a-b)^{2}=a^{2}-2b(a-b)-b^{2}$ ... distribute on the RHS $(a-b)^{2}=a^{2}-2ab+2b^{2}-b^{2}$ ... simplify (add like terms) $(a-b)^{2}=a^{2}-2ab+b^{2}$
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.