Question

Simplify and find the undefined values of

Answer 1

Given:

Given that the expression is
`(3 x^(2)+9 x)/(5 x^(3)+15 x^(2))`

We need to simplify the value and determine the undefined value.

Simplification:

Let us simplify the given expression.

Factor out the term
`3 x` from the expression, we get;

`(3 x(x+3 ))/(5 x^(3)+15 x^(2))`

Factor out the term
`5x^2` from the denominator of the expression, we get;

`(3 x(x+3))/(5 x^(2)(x+3))`

Cancelling the common terms, we have;

`(3)/(5 x)`

Thus, the simplified expression is
`(3)/(5 x)`

Undefined value:

The undefined value of the expression
`(3)/(5 x)` is
`x\\eq 0`

Thus, the solution is
`(3)/(5 x)`,
`x\\eq 0`

Hence, Option B is the correct answer.