[latex]\\left(\\begin{array}{c}n\\\\ r\\end{array}\\right)[\/latex] is called a binomial coefficient and is equal to [latex]C\\left(n,r\\right)[\/latex].<\/li>\n\t
The Binomial Theorem allows us to expand binomials without multiplying.<\/li>\n\t
We can find a given term of a binomial expansion without fully expanding the binomial.<\/li>\n<\/ul>
\n
Glossary<\/h2>\n
binomial coefficient<\/dt>
the number of ways to choose r<\/em> objects from n<\/em> objects where order does not matter; equivalent to [latex]C\\left(n,r\\right)[\/latex], denoted [latex]\\left(\\begin{array}{c}n\\\\ r\\end{array}\\right)[\/latex]<\/dd><\/dl>
binomial expansion<\/dt>
the result of expanding [latex]{\\left(x+y\\right)}^{n}[\/latex] by multiplying<\/dd><\/dl>
Binomial Theorem<\/dt>
a formula that can be used to expand any binomial<\/dd><\/dl><\/div>\n\u00a0","rendered":"
[latex]\\left(\\begin{array}{c}n\\\\ r\\end{array}\\right)[\/latex] is called a binomial coefficient and is equal to [latex]C\\left(n,r\\right)[\/latex].<\/li>\n
The Binomial Theorem allows us to expand binomials without multiplying.<\/li>\n
We can find a given term of a binomial expansion without fully expanding the binomial.<\/li>\n<\/ul>\n
\n
Glossary<\/h2>\n
\n
binomial coefficient<\/dt>\n
the number of ways to choose r<\/em> objects from n<\/em> objects where order does not matter; equivalent to [latex]C\\left(n,r\\right)[\/latex], denoted [latex]\\left(\\begin{array}{c}n\\\\ r\\end{array}\\right)[\/latex]<\/dd>\n<\/dl>\n
\n
binomial expansion<\/dt>\n
the result of expanding [latex]{\\left(x+y\\right)}^{n}[\/latex] by multiplying<\/dd>\n<\/dl>\n
\n
Binomial Theorem<\/dt>\n
a formula that can be used to expand any binomial<\/dd>\n<\/dl>\n<\/div>\n