The difference between two positive numbers is 6 and the difference between their cubes is 396. find their product.
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The difference between two positive numbers is 6 and the difference between their cubes is 396. find their product.
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Answer:
answer is 21
Step-by-step explanation:
Let two positive numbers are a and b.
As given
a−b=4 ………………(1)
and
a
3
−b
3
−316 ………….(2)
We know that
(a−b)
3
=a
3
−b
3
−3ab(a−b)
Substitute all values from equation (1) & (2) we get
(4)
3
=316−3ab(4)
⇒64=316−12ab
⇒12ab=316−64
⇒12ab=252
⇒ab=
12
252
⇒ab=21
So,
There product will be 21.
Step-by-step explanation:
the answer is 21
hope it helps you