Question

Divide:
3x(2)over x(2)+5x-6 divided by 6x(2)-15x over x(2)+5x-6

Answer 1

`\displaystyle(\left((3x^2)/(x^2+5x-6)\right))/(\left((6x^2-15x)/(x^2+5x-6)\right))=(3x^2)/(x^2+5x-6)\cdot(x^2+5x-6)/(6x^2-15x)\\\\=(\left(x^2+5x-6\right)\left(3x^2\right))/(\left(x^2+5x-6\right)\left(6x^2-15x\right))=(3x(x))/(3x(2x-5))\\\\=(x)/(2x-5)`