Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 0 - Section 0.3 - Multiplying and Factoring Algebraic Expressions - Exercises: 7

Answer

$2y^{2} +13y+15$.

Work Step by Step

$(2y+3)(y+5)$ 1. Multiply the first terms of each bracket together. $(2y)(y) =2y^{2}$ 2. Multiply the outermost terms of each bracket together. $(2y)(5) = 10y$ 3. Multiply the innermost terms of each bracket together. $(3)(y) = 3y$ 4. Multiply the last terms of each bracket together. $(3)(5) = 15$ 5. Add all answers from steps 1-4 to get $2y^{2} +10y+3y+15$. 6. Collect like terms to get $2y^{2} +13y+15$.
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