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

[math]"Prove: " \ (x^2 + y^2)^2 = (x^2 - y^2)^2 + (2xy)^2[/math]

Left Side: [math](x^2 + y^2)^2[/math]
Step 1: [math](x^4+y^4)[/math]
Step 2: [math]x^2+2x^2y^2+y^2[/math]
Step 3: [math](x^2-y^2)^2+(2xy)^2[/math]
  1. The proof is correct.
  2. Step 1 has an error.
  3. Step 2 has an error.
  4. Step 3 has an error.
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