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The product of two numbers is x to the power 4 - y to the power 4 .if one of them is x- y ,find the other number.
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Step-by-step explanation:
(x+y) (x-y) = x²-y²
product = x⁴-y⁴
one no = x-y
therefore, other no required is
(x²+y²) (x+y)
VERIFICATION :
(x²+y²) (x+y) (x-y)
(x²+y²) (x²-y²+xy-xy)
(x²+y²) (x²-y²)
x⁴-x²y²+x²y²-y⁴
x⁴-y⁴
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