Add the following: $a - b + a b, b - c + b c, c - a + a c$

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Solution

To add : $a - b + a b, b - c + b c, c - a + a c$
On combining the like terms and adding them we get
$= (a - b + a b) + (b - c + b c) + (c - a + a c) = a - b + a b + b - c + b c + c - a + a c = a - a + b - b + c - c + a b + b c + c a = 0 + 0 + 0 + a b + b c + c a = a b + b c + c a$
Hence, On adding $a - b + a b, b - c + b c, c - a + a c$ we get $a b + b c + c a$ .

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Q. Add the following:

a - b + a b, b - c + b c, c - a + a c

Q. Add:

a + b + a b; b - c + b c

and

c + a + a c .

Q. Question 3(ii)
Add the following:
(ii) a- b+ab, b - c +bc, c - a + ac

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Add the following: a-b+ab,b-c+bc,c-a+ac

To add : a-b+ab,b-c+bc,c-a+acOn combining the like terms and adding them we get=(a–b+ab)+(b–c+bc)+(c–a+ac)=a–b+ab+b–c+bc+c–a+ac=a–a+b–b+c–c+ab+bc+ca=0+0+0+ab+bc+ca=ab+bc+caHence, On adding a-b+ab,b-c+bc,c-a+ac we get ab+bc+ca.

Add the following: $a - b + a b, b - c + b c, c - a + a c$