algebra
posted by Janet .
Completely factor the following expression.1.)
5c^224cd5d^2

(5c+d)(c5d)
It's got to be something of the form (ac+bd)(ecfd) for some a, b, e and f, but 5 is a prime number, so a and e must be 5 and 1 (or the other way around), and likewise b and f. Also, the 24 can be got as 5x5 + 1, so you just need to experiment a little with the four coefficients until you get the right combination.