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Type: Multiple-Choice
Category: Polynomials and Rational Expressions
Level: Grade 11
Standards: HSA-APR.C.4
Author: nsharp1
Last Modified: 21 days ago

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Polynomials and Rational Expressions Question

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Grade 11 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^4 - y^4 = (x-y)(x+y)(x^2+y^2)[/math]

[math]"Right Side: " (x-y)(x+y)(x^2+y^2)[/math]
[math]"Step 1: " (x-y)(x^3 + xy^2 + x^2y + y^3)[/math]
[math]"Step 2: " (x-y)(x^3 + y^3)[/math]
[math]"Step 4: " x^4 - y^4[/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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