Factorise 8(x+y)^3-2(x+y)
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8(x+y)^3-2(x+y)
=8{x(x^2+2xy+y^2)+y(x^2+2xy+y^2)} - 2x-2y
=8{x^3+2x^2y+xy^2+x^2y+2xy^2+y^3} -2x-2y
=8x^3+16x^y+8xy^2+8x^y+16xy^2+8y^3-2x-2y
=8{x(x^2+2xy+y^2)+y(x^2+2xy+y^2)} - 2x-2y
=8{x^3+2x^2y+xy^2+x^2y+2xy^2+y^3} -2x-2y
=8x^3+16x^y+8xy^2+8x^y+16xy^2+8y^3-2x-2y
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