# HSA.APR.C.5

(+) Know and apply the Binomial Theorem for the expansion of (*x* + *y*)^{n} in powers of *x* and *y* for a positive integer *n*, where *x* and *y* are any numbers, with coefficients determined for example by Pascal's Triangle.¹

¹ The Binomial Theorem can be proved by mathematical induction or by a combinatorial argument.