Add, subtract, and multiply polynomials beyond quadratic cases.
Expand a polynomial using a special-product identity
Problem
Expand \((x^2~+~3)^2\).
Big Picture
What this problem is really about
This expression is a binomial square, so a special-product identity gives a shorter route than distributing from scratch. We’ll treat x squared as the first part and 3 as the second, place them into a squared plus 2 a b plus b squared, and simplify the three resulting terms. The middle product must appear twice.
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