How do you simplify 12c^2d+3c(cd)-4d12c2d+3c(cd)4d?

1 Answer
Jul 1, 2015

12c^2d+3c(cd) -4d=d(15c^2-4)12c2d+3c(cd)4d=d(15c24)

Explanation:

12c^2d+3c(cd) -4d12c2d+3c(cd)4d
color(white)("XXXX")XXXXMultiply the middle term
=12c^2d+3c^d-4d=12c2d+3cd4d
color(white)("XXXX")XXXXCombine the first two terms
=15c^2d-4d=15c2d4d
color(white)("XXXX")XXXXExtract the common of dd
=d(15c^2-4)=d(15c24)