Question

a^3-a^2-ab+a+b-1 Factorize please with explanation ??

Answer 1

${a}^{3} - {a}^{2} - ab + a + b - 1 \\ {a}^{3} - {a}^{2} - ab + b + a - 1 \\ {a}^{2} (a - 1) - b(a - 1) + 1(a - 1) \\ (a - b)( {a}^{2} - b + 1)$