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Factorize a^3-b^3 (O Level Math Tuition Question)
$latex (a-b)^3=a^3-3a^2b+3ab^2-b^3$ So, $latex \begin{array}{rcl} a^3-b^3&=&(a-b)^3+3a^2b-3ab^2\\ &=&(a-b)(a-b)^2+3a^2b-3ab^2\\ &=&(a-b)(a^2-2ab+b^2)+(a-b)(3ab)\\ &=&amp…