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