JEE MATHEMATICS MCQ: QUADRATIC EQUATIONS

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Analyzing +4 | -1

a,b

are distinct positive real numbers, then which one of the following is true?

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Correct option: A

{a^4} + {b^4} > {a^3}b + a{b^3}

Option A (

{a^4} + {b^4} > {a^3}b + a{b^3}

) is correct because the expression

{a^4} + {b^4} - {a^3}b - a{b^3}

can be factored into a positive quantity.

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