Question

Factorise
x^3 + 6x^2 +11x + 6

steps required and do no change the signs

if given correct steps it will be give the BRAINLIEST ANSWER.​

Answer 1

Pls Refer the attachment!!!

Answer 2

Step-by-step explanation:

Solution :-

Given that

x³+6x²+11x+6

It can be written as

= x³+x²+5x²+5x+6x+6

= (x³+x²)+(5x²+5x)+(6x+6)

= x²(x+1)+5x(x+1)+6(x+1)

= (x+1)(x²+5x+6)

= (x+1)(x²+2x+3x+6)

= (x+1)[x(x+2)+3(x+2)]

= (x+1)(x+2)(x+3)

Answer :-

The factorisation of x³+6x²+11x+6 is

(x+1)(x+2)(x+3)

Used Method:-

• Splitting the middle term.