Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 8 - Polynomials and Factoring - 8-3 Multiplying Binomials - Practice and Problem-Solving Exercises: 49

Answer

24$c^{4}$+72$c^{2}$+54

Work Step by Step

Formula surface area of a cube: 6$a^{2}$ Plug in the value of a : 6$(2c^{2}+3)^{2}$ Simplify: 6 ($2c^{2}$+3)(2$c^{2}$+3) FOIL method: 6[($2c^{2}$)($2c^{2}$)+($2c^{2}$)(3)+(3)(2$x^{2}$)+(3)(3)] Simplify: 6(4$c^{4}$+6$c^{2}$+6$c^{2}$+9) Combine like terms: 6(4$c^{2}$+12$c^{2}$+9) Distribute 6 to every term in the parenthesis: 24$c^{2}$+72$c^{2}$+54
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