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Type: Multiple-Choice
Category: Polynomials and Rational Expressions
Level: Grade 12
Standards: HSA-APR.C.4
Author: jjstanley
Last Modified: 6 years ago

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Polynomials and Rational Expressions Question

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Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.C.4

Is the following proof correct? If not, identify the first step that has an error.

$"Prove: " \ (x^2 + y^2)^2 = (x^2 - y^2)^2 + (2xy)^2$

Left Side:

$(x^2+y^2)^2$
Step 1:

$(x^2+y^2)(x^2+y^2)$
Step 2:

$x^4-2x^2y^2+4x^2y^2+y^4$
Step 3:

$(x^2-y^2)^2+(2xy)^2$

The proof is correct.
Step 1 has an error.
Step 2 has an error.
Step 3 has an error.