if the sum and product of two number are 7 and 47 by 4 respectively find the sum of their cubes
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Answer:
Let m and n be the two numbers. Then:
m+n=8 and
mn=15
Also:
a³+b³=(a+b)³-3 ab(a + b)
So
m³+n³=(8)³-3(15)(8)
=512–360
=152
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