Question

$factorise \: \: {x}^{2} + \frac{1}{x} - 2 - 3x + \frac{3}{x}$
​

Answer 1

Step-by-step explanation:

Given : x

2

+

x

2

1

−2−3x+

x

3

We can further write it as

x

2

+

x

2

1

−2−3x+

x

3

=(x−

x

1

)

2

−3(x−

x

1

)

By taking the common terms out

x

2

+

x

2

1

−2−3x+

x

3

=(x−

x

1

)(x−

x

1

−3)