Question

Factorize
a^2-2ab-c+b^2?​

Answer 1

Answer:

Given equation is a

2

−2ab−c

2

+b

2

We can write the given equation as,

⇒ a

2

−2ab+b

2

−c

2

⇒ (a−b)

2

−c

2

....Since (a

2

−2ab+b

2

=(a−b)

2

)

Also we know,

m

2

−n

2

=(m+n)(m−n)

Here, m=(a−b) and n=c

Thus a

2

−2ab−c

2

+b

2

=(a−b+c)(a−b−c)

Factors are (a−b+c) and (a−b−c).

HOPE THIS IS HELPFUL TO YOU