The sum of two cubes numbers is 9 and the product
is 20 find the Sum of their
cube and squares
Answers
Answered by
4
Answer:
Let the numbers be a and b
a+b=9
ab=20
Squaring on both sides
(a+b)^2=9^2
a^2+b^2+2ab=81
a^2+b^2+40=81
So sum of sqares is 81-40=41
Cubing on both sides gives
(a+b)^3=9
a^3+b^3+3ab(a+b)=729
a^3+b^3+60(9)=729
a^3+b^3=729-540=189
So the sum of cubes is 189.
Answered by
3
Answer:
It is 189
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