Question

Answer 1

a: Sửa đề: \(A=\dfrac{67^3+52^3}{119}+67\cdot52\)

\(=\dfrac{\left(67+52\right)\left(67^2-67\cdot52+52^2\right)}{67+52}+67\cdot52\)

\(=67^2-67\cdot52+52^2+67\cdot52\)

\(=67^2+52^2=7193\)

b: \(B=\dfrac{59^2-38^2}{83^2-17^2-6597}\)

\(=\dfrac{\left(59-38\right)\left(59+38\right)}{\left(83-17\right)\cdot\left(83+17\right)-9\cdot733}\)

\(=\dfrac{21\cdot97}{66\cdot100-9\cdot733}=\dfrac{2037}{3}=679\)