Question

if a + b is equal to 10 and a square + b square is equal to 58 find the value of a cube plus b cube

Answer 1

A+b=10

Squaring both sides

A^2 +b^2+2ab=100

We get 2ab=100-58

And ab=21

And a=21/b

Solving we get a=7 and b=3

A^3+b^3=7^3+3^3

=343+27

=370

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