Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 7 - Polynomial Equations and Factoring - 7.2 - Multiplying Polynomials - Exercises - Page 369: 4

Answer

$y^2+10y+24$.

Work Step by Step

The given expression is $=(y+6)(y+4)$ Distribute $(y+4)$ to each term of $(y+6)$. $=y(y+4)+6(y+4)$ Use distributive property. $=y(y)+y(4)+6(y)+6(4)$ Multiply. $=y^2+4y+6y+24$ Combine like terms. $=y^2+10y+24$ Hence, the product is $y^2+10y+24$.
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