Question

PLEASE HELP URGENT THIS IS TRIGONOMETRY

Answer 1

B.
`(7x^2 + 11x)/(x^2 + 6x + 5)`

Explanation:

The sum is worked as shown below:

`(x)/(x + 1) + (6x)/(x + 5)`

Use the common denominator to divide each denominator, then use the result to multiply the numerator, you'd have the following:

`(x(x + 5) + 6x(x + 1))/((x + 1)(x + 5))`

Use the distributive property of multiplication to solve

`(x(x) + x(5) + 6x(x) + 6x(1))/((x(x + 5) + 1(x + 5))`

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

Pair like terms

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

`(7x^2 + 11x)/(x^2 + 6x + 5)`

The answer is B.