Question

Urgent!!! Please simplify

Answer 1

The answer is

3x² - 2x³

Explanation:

First factor (x+1)² out of the expression

That's

`\frac{ ({x + 1})^(2) (6 \cos( (\pi)/(3) )) {x}^(2) - {x}^(3) * 2 \sin( (\pi)/(2) ) }{ ({x + 1})^(2) }`

Reduce the expression by (x + 1)²

We have

`6 \cos( (\pi)/(3) ) * {x}^(2) - {x}^(3) * 2 \sin( (\pi)/(2) )`

Using trigonometric values table

`\cos( (\pi)/(3) ) = (1)/(2)`

`\sin( (\pi)/(2) ) = 1`

So we have

`6 * (1)/(2) * {x}^(2) - {x}^(3) * 2 * 1`

Simplify

We have the final answer as

`{3x}^(2) - 2 {x}^(3)`

Hope this helps you