simplify the sum d^2-7d+12/d^2-d-6 + d^2+5d+6/d^2-2d-15

Simplify the sum

d^2-7d+12/d^2-d-6+d^2+5d+6/d^2-2d-15

1 Answer

  • Simplify the sum

    d^2-7d+12/d^2-d-6+d^2+5d+6/d^2-2d-15

    Factor the numerators and denominators. Then divide out common factors.

    (d-4)(d-3)/(d-3)(d+2) + (d+2)(d+3)/(d-5)(d+3)

    = (d-4)/(d+2) + (d+2)/(d-5)

    Now find the LCD. The LCD is (d+2)(d-5). So we have

    [(d-4)(d-5) + (d+2)(d+2)]/(d+2)(d-5)

    =(d² - 5d - 4d + 20 + d² + 2d + 2d + 4)/(d² - 5d + 2d - 10)

    =(2d² - 5d + 24)/(d² - 3d - 10)

Hottest videos

Leave a Reply

Your email address will not be published. Required fields are marked *

Related Posts