![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/step1.JPG\")
First factor the each term in the expression.
\21xy = 3 · 7 · x · y
\25x2 = 5 · 5 · x · x
\The GCF is the product of the common prime factors in each term.
\GCF = x
\![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/step2.JPG\")
Write each term as a product of the GCF and its remaining factors.
\21xy + 25x2 = x(21y) + x(25x)
\Combine like terms uisng distribuitve property: ab + ac = a(b + c).
\21xy + 25x2 = x (21y + 25x)![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/solution.JPG\")
Simplified expression is x (21y + 25x).