Question

Вычислите рациональным способом 45х52 - 52х 42 + 42х51 - 51х39 +39х50 - 50х36 + 36х49 - 49х33 Ответ: 606 , но напишите решение

Answer 1

45х52 - 52х 42 + 42х51 - 51х39 +39х50 - 50х36 + 36х49 - 49х33=
=52*(45-42)+51*(42-39)+50*(39-36)+49*(36-33)=
=3*(52+51+50+49)=3*(102+100)=3*202=606

Answer 2

Calculating the Expression

To calculate the expression 45x52 - 52x42 + 42x51 - 51x39 + 39x50 - 50x36 + 36x49 - 49x33, we can simplify it step by step.

First, let's calculate each part of the expression separately:

1. 45x52 = 2340 2. 52x42 = 2184 3. 42x51 = 2142 4. 51x39 = 1989 5. 39x50 = 1950 6. 50x36 = 1800 7. 36x49 = 1764 8. 49x33 = 1617

Now, let's substitute these values back into the original expression:

2340 - 2184 + 2142 - 1989 + 1950 - 1800 + 1764 - 1617

Calculating the Final Answer

Now, let's add and subtract these values according to the original expression:

2340 - 2184 + 2142 - 1989 + 1950 - 1800 + 1764 - 1617 = 606

So, the final answer is 606.