Problem 96 of 7
Multiply polynomials x^2+1 and x^2-1 using organized partial products.
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align partial products by degree.
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Factors must be polynomials where vertical or partial-product organization is useful.
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Solution
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1. Multiply by one term of the second polynomial at a time.
2. Align partial products by degree.
3. Add partial products and combine like terms.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Combining terms of different degrees.