Numbers & Algebra

1:

If x = b + c, y = c a, z = a b, then
x2 + y2 + z2 - 2xy - 2xz + 2yz is equal to

A.

a + b + c

B.

4b2

C.

abc

D.

a2 + b2

 

Answer : B

Explanation :

x2 + y2 + z2-2xy - 2xz + 2yz 
= (x - y - z)2
=(b+c-c+a-a+b)2= 4b2

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Option: A

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