Posted by **Janet** on Wednesday, November 28, 2012 at 3:21pm.

Completely factor the following expression.1.)

5c^2-24cd-5d^2

- algebra -
**Anonymous**, Wednesday, November 28, 2012 at 3:49pm
(5c+d)(c-5d)

It's got to be something of the form (ac+bd)(ec-fd) 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.

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