Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 5 - Exponents and Polynomials - 5.2 - Multiplying Monomials - Problem Set 5.2: 87

Answer

The answer is below.

Work Step by Step

Of the larger shape, one side is x and one side is x+2. When you multiply these two values, you get $x^2 +2x$. However, you can also add the areas of the two smaller shapes. The area of one is $x^2$, and the area of the other is $2x$. These add to get $x^2 +2x$, which confirms that x(x+2) is actually $x^2 +2x$.
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