Ta có: \(a-b=12\)
\(\Rightarrow\left(a-b\right)^2=12^2\)
\(a^2-2ab+b^2=144\)
\(\Leftrightarrow154-2ab=144\)
\(\Leftrightarrow2ab=10\)
\(\Leftrightarrow ab=5\)
Ta có: \(a^2+2ab+b^2=154+10\)
\(\left(a+b\right)^2=164\)
\(\left(a+b\right)=\sqrt{164}\)
\(a^3+b^3=\left(a+b\right)\left(a^2-ab+b^2\right)=\sqrt{164}.\left(154-5\right)=\sqrt{164}.149\)
Tham khảo nhé~