Question

2x/x^2-36 + x+4/x+6

Answer 1

2x/(x^2-36) + (x+4)/(x+6) =

2x / (x + 6)(x -6) + (x+4)/(x+6) =

Answer 2

2x /[ (x + 6)(x -6)] + [ (x-6) (x+4)] /[ (x-6)(x+6)] =

Answer 3

The denominators are the same now. Add numerators. The second fraction was multiplied by (x-6)(x-6) which = 1.

Answer 4

Numerator: 2x + [ (x-6) (x+4)] = x^2 - 24

Answer 5

Denominator: [ (x-6)(x+6)]

Answer 6

Sum of two rational fractions is:

[x^2 - 24] / [ (x-6)(x+6)]

Answer 7

[x^2 - 24] / [ x^2 - 36 ] ----> Please check answer.