Question

(a+b+c) (a+b–c)
Algebraic expressions​

Answer 1

a−b+ab,b−c+bc,c−a+ac

(1)We know that if we add both positive terms and negative terms of the same value we get zero.
a−a=0
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (2)
Now adding all the expressions in (1) we get,
a−b+ab+b−c+bc+c−a+ac

Now further solving we get,
a+b+c−a−b−c+ab+bc+ca

Now further solving we get,
a−a+b−b+c−c+ab+bc+ca

Now applying (2) we get,
ab+bc+ca
.
After adding all the expressions we get,
ab+bc+ca
.