Question

What is the simplified form of x+7/x+3 + x-4/3

Answer 1

3(x+7)+3(x+3)-4(x+3)
3x+21+3x+9-4x-12
2x+18 or 2(x+9)

Answer 2

`x*(x+2)`

Explanation:

The expression is as follows:

`(x+7)/(x+3)+(x-4)/3`

To simplify we need to get rid of the denominators for each expression. We can see that the denominators are (x+3) and 3. We therefore mutliply the expression with 3(x+3):

`3*(x+7)+(x-4)*(x+3)= 3*x+21+x^2-x-21`

Simplify the expression

`x^2+2*x=x*(x+2)`