Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Review - Concept Check - Page 132: 10

Answer

Factoring and expanding are completely opposite. To factor means to express as a product. To expand means to multiply it. Lets look at the expression $(x+2)^{2}$ Let’s expand it $$(x+2)(x+2)$$ $$x^{2}+2x+2x+4$$ $$x^{2}+4x+4$ Now let’s factor $$x^{2}+4x+4$$ $$(x+2)(x+2)$$

Work Step by Step

Factoring and expanding are completely opposite. To factor means to express as a product. To expand means to multiply it. Lets look at the expression $(x+2)^{2}$ Let’s expand it $(x+2)(x+2)$ $x^{2}+2x+2x+4$ $x^{2}+4x+4$ Now let’s factor $$x^{2}+4x+4$$ $$(x+2)(x+2)$$
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