how do you factor 60(x^2-2) and also how do you factor (3x^5-20x^3)??

Question

How do you factor 60(x^2-3) and also how do you factor (3x^5-20x^3)??

Answer 1

60(x^2-2) = 60(x^2-(√(2))^2) = 60(x+√(2))(x-√(2))

 

 

3x^5 – 20x^3 = x^3(3x^2 – 20)

 

= x^3((√(3)x)^2 – (2√(5))^2)

 

= x^3(√(3)x + 2√(5))(√(3)x – 2√(5))

Answer 2

60 ( X^2 -2) = 60 ( X + √2) ( X - √2 )

 

3X⁵ - 20 X³  = X³ (3X² - 20 ) = X³ ( (√3) X +√20 ) ((√3) X - √20 )

Answer 3

Hi Hunter;

60(x²-2)

This is factored.

If you want to un-factor this...

60x²-120

 

(3x⁵-20x³)

x³(3x²-20)