If a and b are any two real numbers with opposite signs, which of the following is the greatest?
(a−b)2
(|a|−|b|)2
|a2−b2|
a2+b2
A
a2+b2
B
(|a|−|b|)2
C
|a2−b2|
D
(a−b)2
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Solution
Verified by Toppr
Obvious (A) is greatest.
Because as the two numbers are of opposite signs they get added as
(a−(−b))=a+b and then squared.Hence Option A is greatest.
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