simplify the expression: (2x^2+x-6)/(x^2+4x-5)*(x^3-3x^2+2x)/(4x^2-6x)

Question

(2x^2+x-6)/(x^2+4x-5)*(x^3-3x^2+2x)/(4x^2-6x)

Answer 1

[(2x^2 + x - 6) / (x^2 + 4x - 5)] * [(x^3 - 3x^2 + 2x) / (4x^2 - 6x)]
= [(2x - 3)(x + 2) / (x + 5)(x - 1)] * [x(x - 2)(x - 1) / (2x)(2x - 3)]
= [x(2x - 3)(x + 2)(x - 2)(x - 1)] / [(x + 5)(x - 1)(2x)(2x - 3)]
= [(x + 2)(x - 2)] / [(x + 5)(2)]
= (x^2 - 4) / (2x + 10)