Frações Algébricas – 3* caso \frac{x+1}{2x-4} + \frac{x-1}{3x-6}

Question

Frações Algébricas – 3* caso \frac{x+1}{2x-4}  + \frac{x-1}{3x-6}

0

Answers ( No )

    0
    2021-10-14T23:05:24+00:00

    Answer:

     \dfrac{5x + 1}{6(x - 2)}

     \dfrac{5x + 1}{6x - 12}

    Step-by-step explanation:

    Fatorizam-se os denominadores.

    2x – 4 = 2(x – 2)

    3x – 6 = 3(x – 2)

    O minimo multiplo comum dos denominadores e

    2(3)(x – 2)

     \dfrac{x + 1}{2x - 4} + \dfrac{x - 1}{3x - 6} =

     = \dfrac{3(x + 1)}{2(3)(x - 2)} + \dfrac{2(x - 1)}{2(3)(x - 2)}

     = \dfrac{3(x + 1) + 2(x - 1)}{6(x - 2)}

     = \dfrac{3x + 3 + 2x - 2)}{6(x - 2)}

     = \dfrac{5x + 1}{6(x - 2)}

     = \dfrac{5x + 1}{6x - 12}

Leave an answer

Browse
Browse