Question

17³+16³/33 - 17×16

помогите пожалуйста​

Answer 1

$\frac{17^{3}+16^{3}}{33} -17*16=\frac{(17+16)(17^{2}-17*16+16^{2})}{33} -17*16=\frac{33(17^{2}-17*16+16^{2})}{33} -17*16=\\\\=17^{2} -17*16+16^{2}-17*16=17^{2} -2*17*16+16^{2}=(17-16)^{2}=1^{2} =\boxed1$