![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/step1.JPG\")
First factor the each term in the expression.
\k3 = k · k · k
\k2 = k · k
\5k = 5 · k
\The GCF is the product of the common prime factors in each term.
\GCF = k
\![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/step2.JPG\")
Write each term as a product of the GCF and its remaining factors.
\k3 + k2 + 5k = k(k2 ) + k (k) + k(5)
\Combine like terms uisng distribuitve property: ab + ac = a(b + c).
\k3 + k2 + 5k = k (k2 + k + 5)![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/solution.JPG\")
Simplified expression is k (k2 + k + 5).