Elementary Algebra

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

Chapter 5 - Exponents and Polynomials - 5.3 - Multiplying Polynomials - Concept Quiz 5.3: 9

Answer

This statement is true.

Work Step by Step

$(x+2)^{2}$ = $x^{2}$ + 4x + 4 Recall: $(a+b)^{2}$ = $a^{2}$ + 2ab + $b^{2}$ Using this pattern, we expand the left side in order to simplify it. $(x+2)^{2}$ = $x^{2}$ + 2$\times$x$\times$2 + $2^{2}$ = $x^{2}$ + 4x + 4 Since $x^{2}$ + 4x + 4 is indeed equal to $x^{2}$ + 4x + 4, this statement is true.
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