Question

The product of two numbers is x4 – y4. If one of them is x – y, find
the other number

Answer 1

Answer:

✯Given :- The product of two number is

$\tt {x}^{4} - {y}^{4}$

And one of the number is x - y

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✯To Find :- The other number

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✯Solution :-

$\tt{x}^{4} - {y}^{4}$

$\tt = > {( {x}^{2}) }^{2} - { ({y}^{2}) }^{2}$

$\tt = > ( {x}^{2} + {y}^{2} )( {x}^{2} - {y}^{2} )$

$\tt = > ( {x}^{2} + {y}^{2} )(x - y)(x + y)$

Hence the other number is:-

$\tt \pink{( {x}^{2} + {y}^{2} )(x + y)}$

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