Question

Вычислите рациональным способом:
45*52-52*42+42*51-51*39+39*50-50*36+36*49-49*33

Answer 1

45*52-52*42+42*51-51 *39+39*50-50*36+36*49-49*33=606

Answer 2

45*52-52*42+42*51-51*39+39*50-50*36+36*49-49*33 =52(45-42)+51(42-39)+50(39-36)+49(36-33)=52*3+51*3+50*3+49*3=3(52+51+50+49)=3*202=606