Question

Help if ur smart plssssssss

Answer 1

The answer would be ⁻
`(19)/(x-5\\)`

Answer 2

`\underline{\boxed{\sf \cfrac{-19}{x-5}}}`

Explanation:

`\sf \cfrac{x^2+10+25}{x+5}-\cfrac{x^2-6}{x-5}`

First, Let's factor the expressions that are not already factored in x^2+10+25/x+5

`\sf \cfrac{(x+5)^2}{x+5}-\cfrac{x^2-6}{x-5}`

Now, cancel out x+5 in both numerator and denominator:-

`\sf x+5-\cfrac{x^2-6}{x-5}`

Expand equations to make their denominators the same before adding or subtracting them. Multiply x+5 * x-5/x-5:-

`\sf \cfrac{(x+5)(x-5)}{x-5}-\cfrac{x^2-6}{x-5}`

Now, Since
`\sf ((x+5)(x-5))/(x-5)` and
`\sf (x^2-6)/(x-5)` and similar denominator, we'll subtrac their numerators.

`\sf \cfrac{(x+5)(x-5)-(x^2-6)}{x-5}`

`\sf \cfrac{x^2-5x+5x-25-x^2+6}{x-5}`

Combine like tems in
`\sf x^2-5x+5x-25-x^2+6` :-

`\sf \cfrac{-19}{x-5}`

Therefore, your answer is D.