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.
Prove: x4-y4=(x-y)(x+y)(x2+y2)
Right Side: (x-y)(x+y)(x2+y2)
Step 1: (x-y)(x3+xy2+x2y+y3)
Step 2: (x-y)(x3+y3)
Step 4: x4-y4
Prove: x4-y4=(x-y)(x+y)(x2+y2)
Right Side: (x-y)(x+y)(x2+y2)
Step 1: (x-y)(x3+xy2+x2y+y3)
Step 2: (x-y)(x3+y3)
Step 4: x4-y4
- The proof is correct.
- Step 1 has an error.
- Step 2 has an error.
- Step 3 has an error.