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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) .