AHSME 1980 Problem 2

The degree of $(x^2+1)^4 (x^3+1)^3$ as a polynomial in $x$ is $\text{(A)} \ 5 \text{(B)} \ 7 \text{(C)} \ 12 \text{(D)} \ 17 \text{(E)} \ 72$

Dataset text NuminaMath-1.5. Quoted with source.

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