Problem Solving (PS) | If k and m are integers and k = m*(m+4)*(m+5), k must be divisible by

Mathematicalapproach

\(k=m*(m+4)*(m+5) = (m+3-3)*(m+4)*(m+5)\)

or\(k = (m+3)*(m+4)*(m+5)-3(m+4)*(m+5)\)

Now,\((m+3)\) ,\((m+4)\) &\((m+5)\) are three consecutive integers, henceMUST be divisible by\(3\) &\(6\)

\(-3(m+4)*(m+5)\) has
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