Question

Which multiplication expression is equivalent to

2x - 5x - 3 / 4x2 + 12x + 5 divided by 3x2 - 11x + 6 / 6x2 + 11x - 10

Answer 1

First part: C

Second part: 1

Explanation:

Answer 2

1

Explanation:

Correct question: 2x2 - 5x - 3 / 4x2 + 12x + 5 divided by 3x2 - 11x + 6 / 6x2 + 11x - 10.

As given:
`((2x^(2)-5x-3) )/((4x^(2)+12x+5 )) / ((3x^(2) -11x+6))/((6x^(2)+11x-10) )`

Solving it by using quadratic equation.

=
`((2x^(2)-6x+1x-3) )/((4x^(2)+10x+2x+5) ) / ((3x^(2)-9x-2x+6 )/((6x^(2)+15x-4x-10) )`

=
`((2x+1) (x-3))/((2x+1) (2x+5)) / ((3x-2) (x-3))/((2x+5) (3x-2))`

To divide fraction take the reciprocal of divisor and multiply the dividend.

=
`((2x+1) (x-3))/((2x+1) (2x+5)) * ((2x+5) (3x-2))/((3x-2) (x-3))`

We solve it to get 1 as it cancel fraction on both side.

Answer is 1.