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

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

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Steve S. | Tutoring in Precalculus, Trig, and Differential CalculusTutoring in Precalculus, Trig, and Diffe...
5.0 5.0 (3 lesson ratings) (3)
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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))

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Parviz F. | Mathematics professor at Community CollegesMathematics professor at Community Colle...
4.8 4.8 (4 lesson ratings) (4)
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60 ( X^2 -2) = 60 ( X + √2) ( X - √2 )
 
3X5 - 20 X = X3 (3X2 - 20 ) = X3 ( (√3) X +√20 ) ((√3) X - √20 )
Vivian L. | Microsoft Word/Excel/Outlook, essay composition, math; I LOVE TO TEACHMicrosoft Word/Excel/Outlook, essay comp...
3.0 3.0 (1 lesson ratings) (1)
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Hi Hunter;
60(x2-2)
This is factored.
If you want to un-factor this...
60x2-120
 
(3x5-20x3)
x3(3x2-20)