Question

Simplify -12x^4/x^4+8x^5

Answer 1

OPTION A:
`$ (12)/(1 + 8x) $`, where
`$ x \\e - (1)/(8) $`.

Explanation:

Given:
`$ (- 12x^4)/(x^4 + 8x^5) $`

Taking
`$ x^4 $` common outside in the denominator, we get:

`$ = (-12x^4)/((x^4)(1 + 8x)) $`

`$ x^4 $` will get cancelled on the numerator and denominator, we get:

`$ = (-12)/(1 + 8x) $`

we know that the denominator can not be zero.

That means, 1 + 8x
`$ \\e $` 0.

`$ \implies 8x \\e -1 $`

`$ \implies x \\e (-1)/(8) $`

So, the answer is:
`$ (-12)/(1 + 8x) $`, where
`$ x \\e (-1)/(8) $`.