Question

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Answer 1

Given:

The expression is:

`(15m^2-3)/(3m-1)`

To find:

The simplified value of the given expression.

Solution:

We have,

`(15m^2-3)/(3m-1)`

On dividing, we get

`(3m-1)|\overline{15m^2+0m-3}|5m+(5)/(3)`

`-(15m^2-5m)`

`\overline{\quad \quad -5m-3}`

`-(5m-(5)/(3))`

`\overline{\quad \quad -(4)/(3)}`

Here, quotient is
`5m+(5)/(3)` and the remainder is
`-(4)/(3)`.

Therefore,
`(15m^2-3)/(3m-1)=5m+(5)/(3)-(4)/(3(3m-1))`.