Question

H.C.F of a^2-b^2,a^3-b^3

Answer 1

${a}^{2} - {b}^{2} = (a - b)(a + b) \\ \\ {a}^{3} - {b}^{3} = (a - b)( {a}^{2} + {b}^{2} + ab) \\ \\ hcf = product \: of \: least \: powers \: of \: the \: common \: prime \: factors \\ \: \: \: = (a - b)$