Simplify 7x222x37x227x4Solution7x222x37x227x4 Numerator fac

Simplify

7x²-22x+3/7x²+27x-4

(7x^2-22x+3)/(7x^2+27x-4)

Numerator : factorise: 7x^2 -22x +3 = 7x^2 -21x -x +3 = 7x( x-3) -1(x-3)

= (7x -1)(x-3)

Denominator : factorise 7x^2+27x-4 = 7x^2 +28x -x -4 = 7x( x+4) -1(x+4)

= (7x -1)( x+4)

(7x^2-22x+3)/(7x^2+27x-4) = (7x -1)(x-3)/(7x -1)( x+4)

= ( x-3)/(x +4)