Question

H.C.F of (x-2) (x-3) and (x² + x - 6) is ?

Answer 1

Answer:

$(x - 2)(x - 3) = {x}^{2} - 2x - 3x + 6 \\ \\ = {x}^{2} - 5x + 6 \\ \\ {x}^{2} + x - 6 = {x}^{2} + 3x - 2x - 6 \\ \\ = x(x + 3) - 2(x + 3) \\ \\ = (x + 3)(x - 2) \\ \\ \\ hcf \: of \: (x - 2)(x - 3) \: \: and \: \: ({x}^{2} + x - 6) \: \: is \: \: { \pink{ (x - 2)}}$

Answer 2

Answer:

H.C.F. of (x-2)(x-3) and (x²+x-6) is (x-2)