Problem

1957 AHSME Problem 4

The first step in finding the product (3x + 2)(x - 5) by use of the distributive property in the form a(b + c) = ab + ac is:

\begin{array}{l} \textbf{(A)}\ 3x^2 - 13x - 10 \qquad \textbf{(B)}\ 3x(x - 5) + 2(x - 5)\qquad \\ \textbf{(C)}\ (3x+2)x+(3x+2)(-5)\qquad \textbf{(D)}\ 3x^2-17x-10\qquad \textbf{(E)}\ 3x^2+2x-15x-10 \end{array}


Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.


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