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AHSME 1950- part 2

Source:

July 18, 2008
algebrabinomial theorem

Problem Statement

The number of terms in the expansion of [(a\plus{}3b)^2(a\minus{}3b)^2]^2 when simplified is:
<spanclass=′latex−bold′>(A)</span> 4<spanclass=′latex−bold′>(B)</span> 5<spanclass=′latex−bold′>(C)</span> 6<spanclass=′latex−bold′>(D)</span> 7<spanclass=′latex−bold′>(E)</span> 8<span class='latex-bold'>(A)</span>\ 4\qquad <span class='latex-bold'>(B)</span>\ 5 \qquad <span class='latex-bold'>(C)</span>\ 6 \qquad <span class='latex-bold'>(D)</span>\ 7 \qquad <span class='latex-bold'>(E)</span>\ 8
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