Question

Factories
5-4(a-b)-12(a-b)^2

Answer 1

Answer:

(2b-2a+1)(6a-6b+5)

Step-by-step explanation:

-12(a-b)^2-4(a-b)+5

=-12(a-b)^2-10(a-b)+6(a-b)+5

=-2(a-b){6(a-b)+5}+1{6a(a-b)+5}

={6(a-b)+5}{-2(a-b)+1}

=(6a-6b+5)(-2a+2b+1)

=(2b-2a+1)(6a-6b+5)

Answer 2

Answer:

(1-2a+2b)(5+6a-6b)

Step-by-step explanation:

First as (a-b) is common in both terms of the question ,let's assumbe (a-b)=x

It now becomes 5-4x-12x^2

Now using the method of splitting the middle term ,

5-10x+6x-12x^2

5(1-2x)+6x(1-2x)

(1-2x)(5+6x)

Now substituting back the values of x which is a-b

(1-2(a-b))(5+6(a-b))

(1-2a+2b)(5+6a-6b)

HOPE IT HELPS YOU