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Use the binomial theorem to expand each expression. See Examples 4 and $5 .$$$(m+n)^{4}$$
$m^{4}+4 m^{3} n+6 m^{2} n^{2}+4 m n^{3}+n^{4}$
Precalculus
Chapter 14
Sequences and Series
Section 4
The Binomial Theorem
Introduction to Sequences and Series
Introduction to Combinatorics and Probability
Piedmont College
Oregon State University
Harvey Mudd College
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Okay, so we want to use our binomial the room to expand what we have. So this gives us an or for to throw I m to the power of four. Close four. Choose one emptor power of three and and to the power of one. And then we have a four choose to and an empty part to enter part two and then for 23 and to the power of one enterp artery on last May, we have a four choose for and an end to power of four. Okay, so that give that gives us a M to depart for plus four time Super three times. And what's four? Choose two. We get a six, I'm squared and squared, plus a 43 That's a four, um, and cubed. And then we have a plus on to the power of four
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