Question

Factorise:12(a+1)^2 - 25(a+1)(b+2)+12(b+2)^2

Answer 1

Answer:

Step-by-step explanation:let (a+1)=x

and (b+1)=y

Now,12x^2-25xy+12y^2

=12x^2-16xy-9xy+12y^2

=4x(3x-4y)-3y(3x-4y)

=(3x-4y)(4x-3y)

=(3a+3-4b-4)(4a+4-3b-3)

=(3a-4b-1)(4a-3b+1)

Answer 2

Answer:

(4a-3b-2)(3a-4b-5)

Step-by-step explanation:

Let assume :- (a+1) = x and (b+2) = y

Now,

12x²-25xy+12y² (Factorise)

12x²-16xy-9xy+12y²

4x(3x-4y)-3y(3x-4y)

(4x-3y)(3x-4y)

Now,

[4(a+1)-3(b+2)] [3(a+1)-4(b+2)]

(4a+4-3a-6) (3a+3-4b-8)

(4a-3b-2) (3a-4b-5)