Question

factorise (x^3+x - 3 x ^2- 3)
please answer by process ​

Answer 1

Step-by-step explanation:

We have to factorise x3 + x – 3x2 – 3

Solution

x3 + x – 3x2 – 3

Here x is common factor in x3 + x and – 3 is common factor in – 3x2 3×2 – 3

x3 – 3x2 + x – 3

x2 (x – 3) + 1(x – 3)

Taking ( x – 3) common

(x – 3) (x2 + 1)

Therefore x3 + x – 3x2 – 3 = (x – 3) (x2 + 1)

Answer

Factors of x3 + x – 3x2 – 3 are (x – 3) (x2 + 1)

Answer 2

Answer:

Given :-

x³+ x - 3x² -3

To find :-

Factorize x³+ x - 3x² -3

Solution :-

Given expression is x³+ x - 3x² -3

It can be arranged as

=> x³ - 3x² + x - 3

=> (x³-3x²)+(x-3)

=> x²(x-3)+1(x-3)

=> (x-3)(x²+1)

Therefore, x³+ x - 3x² -3 = (x-3)(x²+1)

Answer:-

The factorization of x³+ x - 3x² -3 is

(x-3)(x²+1)

Used Method:-

→ Splitting the middle term