Question

is (a+b+c) factor of a^2+ b^2-c^2+2ab




answer me in your notebook please​

Answer 1

Correct option is
A
(a−b+c)
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).

Answer 2

$\huge\mathfrak\red{Solution}$

Break it down into parts :-

|⠀⠀⠀⠀⠀⠀⠀⠀⠀|

⠀⠀⠀⠀⠀a²+b²-2ab = (a-b) (a-b)

⠀⠀⠀⠀⠀a²+b²-c²-2ab = (a-b)² - c²

$\sf{req^{Then, \:factor\: in\: c²}}$

⠀⠀⠀⠀⠀(a-b)²-c²=((a-b)+c)((a-b)-c)

⎆(a-b+c)(a-b-c)..