Help me, please

Factor expression to the simplest form. type the answer in descending order.

18x^{3}-8xy^{2}

ManuelBautista2019 Nov 15, 2017

#1**0 **

Factor the following:

18 x^3 - 8 x y^2

Factor common terms out of 18 x^3 - 8 x y^2.

Factor 2 x out of 18 x^3 - 8 x y^2:

2 x (9 x^2 - 4 y^2)

Express 9 x^2 - 4 y^2 as a difference of squares.

9 x^2 - 4 y^2 = (3 x)^2 - (2 y)^2:

2 x (3 x)^2 - (2 y)^2

Factor the difference of two squares. (3 x)^2 - (2 y)^2 = (3 x - 2 y) (3 x + 2 y):

**2x (3x - 2y) (3x + 2y)**

Guest Nov 15, 2017

edited by
Guest
Nov 15, 2017