Question

simplify 1/x-3 + 4/x over 4/x - 1/x-3 ? please

Answer 1

Just simplifying the top part: 1(4)/ x-3(4) + 4(x-3)/4(x-3)
4x-8 / 4x - 12
4(x-2)/4(x-3)
x-2/ x-3 = the simplified top part
Now lets do the bottom
4(x-3)/x(x-3) - (x)/(x)x-3
4x - 12 - x / x(x-3)
3x - 12 / x(x-3)
3(x-4) / x(x-3)
Now the whole thing put in multiplication
x-2/x-3 x x(x-3)/3(x-4)
x(x-2)/3(x-4)

Answer 2

so whats the simplified answer ?

Answer 3

The very bottom one.
Can also be written as x^2 - 2x / 3x - 12