How do you factor #24s ^ { 2} - 150#?

1 Answer
Dec 20, 2016

Answer:

#6(4s^2 - 25)#

Explanation:

We can rewrite this expression as:

#(color(red)(2) xx 2 xx 2 xx color(red)(3) xx s xx s) - (color(red)(2) xx color(red)(3) xx 5 xx 5)#

We can factor out the common terms of #color(red)(2 xx 3)#

#color(red)(2 x 3)((2 xx 2 xx s xx s) - (5 xx 5))#

Combining the factored terms back together gives:

#6(4s^2 - 25)#