![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/step1.JPG\")
First factor the each term in the expression.
\5n = 5 · n.
\10m = 2 · 5 · m.
\25 = 5 · 5
\The GCF is the product of the common prime factors in each term.
\GCF = 5
\![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/step2.JPG\")
Write each term as a product of the GCF and its remaining factors.
\5n ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=90a2dffa4cf28836c23bfcd658a94d29.png\")
10m + 25 = 5(n) ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=90a2dffa4cf28836c23bfcd658a94d29.png\")
5( 2m) + 5(5)
Combine like terms uisng distribuitve property: ab + ac = a(b + c).
\5n 10m + 25 = 5(n 2m + 5)![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/solution.JPG\")
Simplified expression is 5(n 2m + 5).