How do you simplify #(20f ^ { 10} - 10f ^ { 5} ) \div 5#?

1 Answer
Mar 15, 2018

The expression is equal to #4f^10-2f^5#.

(Or factored: #2f^5(2f^5-1)#.)

Explanation:

#color(white)=(20f^10-10f^5)div5#

#=(20f^10-10f^5)/5#

#=(color(red)cancelcolor(black)20^4f^10-color(red)cancelcolor(black)10^2f^5)/color(red)cancelcolor(black)5#

#=4f^10-2f^5#

If you would also like to factor the expression:

#=2f^5(2f^5-1)#