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# Common Core Standard HSA-APR.C.4 Questions

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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Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.C.4
$(a+b)^2$
Step 1: $(a+b)(a+b)$
Step 2: $a^2+ab+ab+b^2$
Step 3: $a^2+ab^2+b^2$
1. The proof is correct
2. Step 1 has an error
3. Step 2 has an error
4. Step 3 has an error
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.C.4
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.C.4
$(a+b)^2$
Step 1: $(a+b)(a+b)$
Step 2: $a^2+ab+ab+b^2$
Step 3: $a^2+2ab+b^2$
1. The proof is correct
2. Step 1 has an error
3. Step 2 has an error
4. Step 3 has an error
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.C.4
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.C.4
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