Add, subtract, and multiply polynomials beyond quadratic cases.
Multiply higher-degree polynomials and combine like terms
Problem
Expand and simplify \((x^2~+~2x~+~1)(x^3~-~x)\).
Big Picture
What this problem is really about
This multiplication produces three partial products because every term in the first factor must multiply both terms in the second. We’ll write those products separately, use exponent addition for each pair, and then combine terms of equal degree. That organization also makes any cancellation apparent before the simplified polynomial is written.
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