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HSA-APR.C.4
HSA-APR.C.4
Prove polynomial identities and use them to describe numerical relationships. For example, the polynomial identity (x<sup>2</sup> + y<sup>2</sup>)<sup>2</sup> = (x<sup>2</sup> - y<sup>2</sup>)<sup>2</sup> + (2xy)<sup>2</sup> can be used to generate Pythagorean triples.
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HSA-APR.C.4
Prove polynomial identities and use them to describe numerical relationships. For example, the polynomial identity (x<sup>2</sup> + y<sup>2</sup>)<sup>2</sup> = (x<sup>2</sup> - y<sup>2</sup>)<sup>2</sup> + (2xy)<sup>2</sup> can be used to generate Pythagorean triples.
HSA-APR.C.5
(+) Know and apply the Binomial Theorem for the expansion of (x + y)<sup>n</sup> 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.