Question

How do I simplify this? -3x/x^2-9 + 4/2x-6

Answer 1

-3x/(x^2-9) + 4/(2x-6)

Answer 2

\[\frac{ -3x }{ x ^{2} -9 } + \frac{ 4 }{ 2x-6 }\]

Answer 3

-3x/(x^2-9) + 4/(2x-6)

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

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

multiply the second equation by (x+3)/(x+3) to get a common denominator

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

add the numerators. keep the common denominator

[-3x + 2(x+3)]/[(x+3)(x-3)]

[-3x + 2x + 6]/[(x+3)(x-3)]

(-x+6)/[(x+3)(x-3)]

\[\frac{-x+6}{(x^2-9)}\]

Answer 4

Thank you very much! @tomo

Answer 5

you're welcome