Question

a square - b square + 2 bc - c square ...... factorize this

Answer 1

can you please comment on my answer of the question

Answer 2

Answer:

a² - b² + 2 b c - c² = (a - b + c) ( a - b - c)

Step-by-step explanation:

Given,

a² - b² + 2 b c - c²

To factorize,

a² - (b²- 2 b c + c²)

Compare with a² + b² - 2 a b = ( a - b)²

a² - (b²- 2 b c + c²) = a² - (b - c)²

Now compare the resulting equation with a² - b² = ( a + b) (a - b)

On comparing we get b = ( b - c)

a² - (b - c)²  =  (a - b + c) ( a - b - c)

So, a² - b² + 2 b c - c² = (a - b + c) ( a - b - c)