Cho ab = a + b. Tính \(\left(a^3+b^3-a^3b^3\right)+27a^6b^6\)
\(\left(a^3+b^3-a^3b^3\right)+27a^6b^6=\left[\left(a+b\right)^3-3ab\left(a+b\right)-a^3b^3\right]+27a^6b^6\)
Thay ab=a+b, ta có:
\(=\left(a^3b^3-3a^2b^2-a^3b^3\right)+27a^6b^6\)
\(=27a^6b^6-3a^2b^2\)