A212-2 binomial thm notes
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The binomial theorem states that the coefficients of terms in an expansion of the form (a + b)n are given by the entries in the nth row of Pascal's triangle. When expanding (a + b)n, the exponent of a decreases by 1 with each term from n to 0, while the exponent of b increases by 1 with each term from 0 to n. The theorem can be used to expand expressions like x - y^5 or 5 - 2a^4.
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A212-2 binomial thm notes
- 1. Algebra 2<br />12.2The Binomial Theorem<br />If you arrange the values of nk in a triangular pattern, and each row has the next value of n, you get _________________________________________________.<br />Binomial Theorem:<br />The coefficients of a+bn are the elements of the ___________ row of Pascal’s Triangle.
- 2. The exponent of a _________________________ with each term from n to 0.
- 3. The exponent of b _________________________ with each term from 0 to n.Sigma Notation:<br />a+bn=<br />EX:Expand x-y5 using the binomial theorem.<br />EX:Expand 5-2a4.<br />