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Use the binomial theorem to expand each expression. See Examples 4 and $5 .$$$(2 x+3)^{3}$$
$8 x^{3}+36 x^{2}+54 x+27$
Precalculus
Chapter 14
Sequences and Series
Section 4
The Binomial Theorem
Introduction to Sequences and Series
Introduction to Combinatorics and Probability
Campbell University
Piedmont College
Oregon State University
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Okay, so we want to expand the falling. So it's note that we have in value of three. So this is going to be 3 to 0. And in two acts to the power of three plus three, choose one two x to the power of to an injury to the part of one three. Choose to. That's going to be two x times created a part two plus three Choose three Andre Tomorrow three. Okay, so it's simplified us, so we have to reach you. Zero. That's the one. So we have to throw a party, which is an eight x cubed close to three shoes one which is a three times three should after nine and in nine times two squared, which is nine times four. So we get a 36 x squared plus three choose to after three and then we have a three square That's a nine terms to. So what is that? That's a 54 x plus. This year is a one, and reaching for three is 27
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