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How do you factor, 45c + 10d?

User Dylan Watt
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We can't factor out a c or d, since we don't know c in terms of d, or vise versa.  We thus can only factor out an integer.  We see that both numbers are divisible by 5, so we factor out a 5, for a result of 5(9c+2d).  9 and 2 do not have any common factors other than 1, so we have factored fully.  Thus, the answer is 5(9c+2d).
User Wenyi
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