Answer
$(x+2y)^4=x^4+8x^3y+24x^2y^2+32xy^3+16y^4$
Work Step by Step
$(x+2y)^4=~_4C_0x^4+~_4C_1x^3(2y)^1+~_4C_2x^2(2y)^2+~_4C_3x^1(2y)^3+~_4C_4(2y)^4=x^4+4x^3(2y)+6x^2(4y^2)+4x(8y^3)+16y^4=x^4+8x^3y+24x^2y^2+32xy^3+16y^4$
Algebra and Trigonometry 10th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
9781337271172
ISBN 13:
978-1-33727-117-2
Chapter 11 - 11.5 - The Binomial Theorem - 11.5 Exercises - Page 813: 22
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