Question

Find the simplified quotient.

Answer 1

the middle one..............

Answer 2

The correct option is 1.

Explanation:

The given expression is

`(2x^2+5x+3)/(x^2-3x-4)/ (4x^2+2x-6)/(x^2-8x+16)`

Factories numerator and denominator.

`(2x^2+2x+3x+3)/(x^2-4x+x-4)/ (4x^2+6x-4x-6)/(x^2-4x-4x+16)`

`(2x(x+1)+3(x+1))/(x(x-4)+(x-4))/ (2x(2x+3)-2(2x+3))/(x(x-4)-4(x-4))`

`((x+1)(2x+3))/((x-4)(x+1))* ((x-4)(x-4))/((2x+3)(2x-2))`

Cancel out the common factors.

`(1)/(1)* ((x-4))/((2x-2))`

`(x-4)/(2x-2)`

Therefore the correct option is 1.