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a + b a – b = 2, find the value of a 2 – ab + b 2 a 2 + ab + b 2

a + b
a – b
= 2, find the value of
a2 – ab + b2
a2 + ab + b2

Grade:12

2 Answers

Anish Singhal
askIITians Faculty 1194 Points
2 years ago
555-2274_pp2.png
Harsh nadar
41 Points
2 years ago
i hope that you know about componendo and dividendo. If not then i request you to just go through it, it will hardly take 10 minutes and it really is important for future problem solving in algebra.
to start with   we have
(a+b)/(a-b) = 2
using componendo and dividendo  we get,
a/b = 3;   therefore a=3b
now we have a2 = 9b2
and   a.b = 3b2 
now solve by substituting these values in asked question
we will get   (7b2) /(14b2)
this gives ½  as the ANS
 

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