Question

Add: x^2+6x+2/5x+15 + x+10/5x+15 1. Rewrite the expression as a single fraction

2. Combine like terms
3.Simplify

Answer 1

(x+4)/5

Explanation:

Answer 2

the simplified expression is
`(x+4)/(5)`

Explanation:

Given;

`(x^2 + 6x + 2)/(5x + 15) + (x+ 10)/(5x+ 15)`

1. Rewrite the expression as a single fraction as follows;

`(x^2 + 6x + 2)/(5x + 15) + (x+ 10)/(5x+ 15) = \frac{x^2 + 6x + 2 \ + \ {x+ 10} }{5x + 15} = (x^2 + 7x + 12)/(5x + 15)`

2. By combining like terms we had
`(x^2 + 7x + 12)/(5x + 15)`

3. The expression is simplified as follows;

Factorize the numerator and denominator;

`(x^2 + 7x + 12)/(5x + 15) = (x^2 + 3x + 4x + 12)/(5(x + 3)) = (x(x + 3) + 4(x + 3))/(5(x + 3)) = ((x + 3)(x + 4))/(5(x + 3)) = (x + 4)/(5)`

Therefore, the simplified expression is
`(x+4)/(5)`