Question

prove that (a – b)2 + 2c (a – b) = (a – b)[ (a – b) + 2c ]

Answer 1

hai friend,
L.H.S =R.H.S
then equation is correct

first considering R.H.S

R.H.S
=(a – b)[ (a – b) + 2c ]
multiplying the terms

=(a-b)²+2c(a-b)

which is equal to L.H.S

THUS PROVED, (a – b)2 + 2c (a – b) = (a – b)[ (a – b) + 2c ]


hope helped

Answer 2

LHS = (a - b)² + 2 c (a - b) 
Take   (a-b) as a common factor:
 LHS = (a-b)  [ (a-b) + 2 c ]
        = RHS.

This is very simple and direct.