How do you factor #(x + y)^3 + (x - y)^3#?
2 Answers
Jun 5, 2018
Explanation:
Think about Pascal's Triangle to expand these terms:
Combine like terms
Factor:
Jun 5, 2018
Explanation:
#"this is a "color(blue)"sum of cubes"#
#•color(white)(x)a^3+b^3=(a+b)(a^2-ab+b^2)#
#"here "a=x+y" and "b=x-y#
#=(x+y+x-y)[(x+y)^2-(x+y)(x-y)+(x-y)^2]#
#=2x[x^2+2xy+y^2-x^2+y^2+x^2-2xy+y^2]#
#=2x(x^2+3y^2)#