Home > Algebra > Factoring Completely

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

Answer 1

Nathan Axel

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

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

#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)#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Julia Adams

To simplify the expression ( (20f^{10} - 10f^5) \div 5 ), you can divide each term in the expression by 5:

( (20f^{10} - 10f^5) \div 5 = \frac{20f^{10}}{5} - \frac{10f^5}{5} )

This simplifies to:

( 4f^{10} - 2f^5 )

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.