1 Answer

Navjot · Answer 1 · 2021-11-03T14:30:54+0000

Answer:

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