Question

Simplify: (a+b-c) (a-b+c)​

Answer 1

Step-by-step explanation:

(a+b-c) (a-b+c)

a*a - a*b + a*c + b*a - b*b + b*c - c *a + c*b - c *c

= a² - ab + ac + ab -b² + bc -ac + bc - c²

= a² + b² - c² + 2bc

HOPE ITS HELP YOU ................

Answer 2

GIVEN :-

• ( a + b - c) ( a - b + c)

TO FIND :-

• The simplify form of ( a + b - c) ( a - b + c)

SOLUTION :-

⇒ (a + b - c) (a - b + c)

⇒ a(a - b + c) + b(a - b + c) - c(a - b + c)

⇒ a² - ab + ac + ab- b² + bc - ac + bc - c²

⇒ a² - ab + ab + ac - ac - b² + bc + bc - c²

⇒ a² - b² + 2bc - c².

Hence the final answer is a² - b² + 2bc - c².

ADDITIONAL INFORMATION :-

➵ ( x + y )² = x² + 2xy + y²

➵ ( x - y )² = x² - 2xy + y²

➵ ( x + a ) ( x + b ) = x² + x ( a + b ) + ab

➵ ( a + b ) ( a - b ) = a² - b²

➵ ( a + b ) ( a + b ) = ( a + b )²

➵( a - b ) ( a - b ) = ( a - b )²