Add, subtract, and multiply polynomials beyond quadratic cases.
Add or subtract multivariable polynomials by combining like terms
Problem
Simplify \((3x^2y~+~2xy^2)~-~(x^2y~-~5xy^2)\).
Big Picture
What this problem is really about
This problem combines two ideas: distributing the subtraction across the second polynomial and deciding which multivariable terms are truly alike. We’ll reverse both signs, then combine only terms whose x and y exponents match exactly. Keeping x squared y separate from x y squared prevents unlike terms from being merged.
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