![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/step1.JPG\")
First factor the each term in the expression.
\t2 = t · t.
\4t = 2 · 2 · t.
\The GCF is the product of the common prime factors in each term.
\GCF = t
\![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/step2.JPG\")
Write each term as a product of the GCF and its remaining factors.
\t2 + 4t = t (t) + 4(t)
\Combine like terms uisng distribuitve property: ab + ac = a(b + c)
\t2 + 4t = t (t + 4)![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/solution.JPG\")
Simplified expression is t (t + 4) .
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