How do you factor #8x^3 - (2x - y)^3#?
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1 Answer
Jun 28, 2018
Explanation:
#"this is a "color(blue)"difference of cubes"#
#"which factors in general as"#
#•color(white)(x)a^3-b^3=(a-b)(a^2+ab+b^2)#
#8x^3=(2x)^3rArra=2x" and "b=2x-y#
#=(2x-(2x-y))((2x)^2+2x(2x-y)+(2x-y)^2)#
#=y(4x^2+4x^2-2xy+4x^2-4xy+y^2)#
#=y(12x^2-6xy+y^2)#
