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Find x³-y³,if x-y=5 and xy = 14

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Find x³-y³,if x-y=5 and xy = 14

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x-y=5

xy=14

x3-y3= (x-y)(x2+xy+y2)

=(5)(x2+14+y2)

=(5)(x+y)2

=(5)(2×1×7)

=(5)(15)

=75

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