How do you factor #14x^3 - 21x#?

2 Answers

#7x(\sqrt2x+\sqrt3)(\sqrt2x-\sqrt3)#

Explanation:

#14x^3-21x#

#=7x(2x^2-3)#

#=7x((\sqrt2x)^2-(\sqrt3)^2)#

#=7x(\sqrt2x+\sqrt3)(\sqrt2x-\sqrt3)#

Jul 22, 2018

# 7x (2x^2 - 3)#

Explanation:

#14x^3# & #21x : #The GCF (Greatest Common Factor) is #7x#

Factor out the greatest common factor:
#14x^3 - 21x = 7x (2x^2 - 3)#