Which algebraic identity would you use first to factorise the expression ?

MATHEMATICS · Single correct · AoPS · Mathematics · Special Factorizations · Special Factorizations

Problem

Which algebraic identity would you use first to factorise the expression x3+8x^3 + 8? (a) x3+y3=(x+y)(x2+xy+y2)x^3 + y^3 = (x + y)(x^2 + xy + y^2) (b) x3−y3=(x−y)(x2+xy+y2)x^3 - y^3 = (x - y)(x^2 + xy + y^2) (c) x3+y3=(x+y)(x2−xy+y2)x^3 + y^3 = (x + y)(x^2 - xy + y^2) (d) (x+y)3=x3+3x2y+3xy2+y3(x + y)^3 = x^3 + 3x^2 y + 3xy^2 + y^3

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