2x per x-3 - 3x kuadrat +x per 2x kuadrat - 7x+3

[tex] \frac{2x}{x-3} - \frac{3x^{2} + x }{2x^{2} - 7x + 3 } [/tex]

Jabarkan

[tex] \frac{2x}{x - 3} - \frac{3x^{2} + x }{(2x - 1)(x - 3)} [/tex]

samakan penyebutnya

[tex] \frac{2x(2x - 1)}{(x - 3)(2x - 1)} - \frac{3x^{2} + x }{(2x - 1)(x - 3)} [/tex]

[tex] \frac{4x^{2} - 2x }{(2x - 1)(x - 3)} - \frac{3x^{2} + x }{(2x - 1)(x - 3)} [/tex]

[tex] \frac{4x^{2} - 3x^{2} - 2x - x }{(2x - 1)(x - 3)} [/tex]

[tex] \frac{x^{2} - 3x}{(2x - 1)(x - 3)} [/tex]

jabarkan

[tex] \frac{x(x - 3)}{(2x - 1)(x - 3)} [/tex]

Coret (x - 3)

[tex] \frac{x}{2x - 1} (C)[/tex]

2x/x-3 - (3x^2 + x)/(2x^2 - 7x + 3)

= 2x/x-3 - (3x^2 + x)/(2x - 1)(x - 3)

= [2x(2x - 1) - (3x^2 + x)]/(2x - 1)(x - 3)

= [4x^2 - 2x - 3x^2 - x]/(2x - 1)(x - 3)

= (x^2 - 3x)/(2x - 1)(x - 3)

= (x(x - 3))/(2x - 1)(x - 3)

= x/(2x - 1)