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Use the binomial theorem to expand each expression. See Examples 4 and $5 .$$$(a-b)^{5}$$
$a^{5}-5 a^{4} b+10 a^{3} b^{2}-10 a^{2} b^{3}+5 a b^{4}-b^{5}$
Precalculus
Chapter 14
Sequences and Series
Section 4
The Binomial Theorem
Introduction to Sequences and Series
Introduction to Combinatorics and Probability
Piedmont College
Harvey Mudd College
University of Michigan - Ann Arbor
Lectures
07:16
In mathematics, a continuo…
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Use the binomial theorem t…
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01:21
Use the Binomial Theorem t…
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01:08
Okay, so we want to expand the phone. Well, let's start rewriting our subtraction as ambition to have a plus a negative B to the Power five and al it's expend. So we have 5 to 0. 84 or five five. Choose one A to the power of four and in a to B to a part of one plus five. Choose a to ages three, and they would be to depart to plus five. Choose three. A squared negative beat of our of three plus five juice for a on the beat apart for and Leslie, we have five juice. Five. Negative beat of our five. Okay, so listen before us. So far, 20 is that one. So we have 85 which is one is a five. We have plus five a for and in a negative being. So it's rewrite this as a minus sign. Time to be plus four choose to. That's a ton. Is did the sun. A huge B squared plus action that's a minus 10. A squared B cute plus five a four and minus. Beat it four or five
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