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Write the first four terms of each binomial expansion. See Examples 4 and $5 .$$$(r+2 s)^{12}$$
$r^{12}+24 r^{11} s+264 r^{10} s^{2}+1760 r^{9} s^{3}$
Precalculus
Chapter 14
Sequences and Series
Section 4
The Binomial Theorem
Introduction to Sequences and Series
Introduction to Combinatorics and Probability
Johns Hopkins University
Campbell University
Boston College
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Okay, so we want to write our 1st 4 turns. So let's start with the first time that's going to be 14. Choose zero and an R to the power of 14 Tutsis or through our fortune and then or a second term that would be a 14. Choose one our to the power of 13 and then to us to the part of one. So what's 14? Choose one That's a 14 times a to which is 28 are 13 and anus. And then in order term we have a 14. Choose to are 12 and to us to part of two. So what's 14? Choose two. That's a 91 of times for so that's 364 or 12 and that's squared. And then Or fourth term, that's going to be 14. Choose three or 11 and then two s cute. So what's Fortune 14? Choose three. That's a 364 times two to the power of three. So yes, a 2912 Our love in and s cute
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