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LekaFEV [45]
3 years ago
11

If x+y=10 and x-y=6 , what is the value of x³-y³​

Mathematics
1 answer:
ohaa [14]3 years ago
6 0

Answer:

\huge\boxed{x^3-y^3=508}

Step-by-step explanation:

\underline{+\left\{\begin{array}{ccc}x+y=10\\x-y=6\end{array}\right}\qquad|\text{add the sides  of the equations}\\.\qquad2x=16\qquad|\text{divide both sides by 2}\\.\qquad\boxed{x=8}\\\\\text{Substitute it to the first equation}\\8+y=10\qquad|\text{subtract 8 from both sides}\\\boxed{y=2}\\\\x^3-y^3=8^3-2^3=512-8=504

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