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Q.

Simplify (a+b+c) (a+b-c).


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a

a 2 + b 2 − c 2 +2ab  

b

a 2 − b 2 − c 2 +2ab  

c

a 2 + b 2 − c 2 −2ab  

d

a 2 − b 2 − c 2 −2ab   

answer is A.

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Detailed Solution

It is given  (a+b+c) (a+b-c).
Multiplying all the terms of first expression with all the terms of second expression in the given expression we get,
⇒(a+b+c)(a+b−c) ⇒ a 2 +ab−ac+ab+ b 2 −bc+ac+bc− c 2 ⇒ a 2 + b 2 − c 2 +2ab  
Hence, option (1) is correct.
 
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