Proving and Using Polynomial Identities HSA.APR.C.4 Grade 10 SBAC Practice Test Questions TOC | Lumos Learning

Proving and Using Polynomial Identities HSA.APR.C.4 Question & Answer Key Resources Lumos StepUp - Smarter Balanced Online Practice and Assessments - Grade 10 Mathematics

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Which equation(s) listed below can be proved for all real numbers?

I. \((x-{y)}^2=(x-y)(x+y)\)

II. \({\left(x^2+y^2\right)}^2={\left(x^2+y^2\right)}^2+{\left(2xy\right)}^2\)

III. \({\left(x^2+y^2\right)}^2={(x^2-y^2)}^2+{(2xy)}^2\)

Resource: Question

Question Type: Multiple Choice - Single Answer

Standard(s):HSA.APR.C.4

Standard Description: Prove polynomial identities and use them to describe numerical relationships. For example, the polynomial identity (x2 + y2)2 = (x2 - y2)2 + (2xy)2 can be used to generate Pythagorean triples.

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