Question

Simplify (a+b-c) (a-b+c)
solve it fast ​

Answer 1

Step-by-step explanation:

(a+b+c)(c+b−c)

Expand (a+b+c)(a+b−c) by multiplying

each term in first expression by each term in second expression

a 2 +ab−ac+ba+b 2−bc+ca+cb−c 2

a 2 +ab+ba+b 2 −ac+ca+cb−bc−c 2

a 2+2ab+b2 −0+0−c 2

a 2 +2ab+b 2 −c 2

(a+b) 2 −c 2

Answer 2

Answer:

a^2 - b^2 - c^2 + ac + bc

Step-by-step explanation:

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

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

- c ( a - b + c )

= a^2 - ab + ac + ab - b^2

+ ac - ac + bc - c^2

= a^2 - b^2 - c^2 + ab - ab

+ ac - ac + ac + bc

= a^2 - b^2 - c^2 + 0 + 0 + ac + bc

= a^2 - b^2 - c^2 + ac + bc