+35 .\(Assuming\:that\:x\:\ne \:-5,\:simplify\:\frac{\left(2x\:+\:10\right)^4}{\left(x\:+\:5\right)^3}. \)
+947
Simplify
(2x + 10)4
––––––––
(x + 5)3
Factor the (x + 5)'s out of the numerator
so you can cancel out the denominator.
I'll write it out real simple. Actually, I have to,
if I'm going to keep those exponents straight.
(2)(x + 5) • (2)(x + 5) • (2)(x + 5) • (2)(x + 5)
–––––––––––––––––––––––––––––––—–––
(x + 5) • (x + 5) • (x + 5)
Which leaves 8 (x + 5)
.
