Question

Factorise : x²+ 7x + 6 + ax + 6a​

Answer 1

Answer:

$x {}^{2} \times 6 + x {}^{2} \times ax + x {}^{2} \times 6a$

Step-by-step explanation:

$6x {}^{2} + ax {}^{3} + 6ax {}^{2}$

this is the final answer ☝

Answer 2

Step-by-step explanation:

Given :-

x²+ 7x + 6 + ax + 6a

To find :-

Factorize x²+ 7x + 6 + ax + 6a

Solution :-

Given expression is x²+ 7x + 6 + ax + 6a

It can be arranged as

=> (x²+7x+6)+(ax+6a)

=> (x²+x+6x+6)+(ax+6a)

=> [x(x+1)+6(x+1)] +(ax+6a)

=> (x+1)(x+6)+(ax+6a)

=> (x+1)(x+6)+a(x+6)

=> (x+6) (x+1+a)

Therefore, x²+ 7x + 6 + ax + 6a = (x+6)(x+1+a)

Answer:-

The factorization of x²+ 7x + 6 + ax + 6a is

(x+6)(x+1+a)

Used Method:-

→ Splitting the middle term