Question

Найдите значения выражений, использую распределительное свойство умножения. 42*42-32*42+10*42= 19*17+11*17= 7*379-6*379= 19*65+12*65-31*65= 16*83+19*83-32*83= 927*18-927*17= ( Считать на калькуляторе-не подходит. Нужна именно запись.)

Answer 1

42*42-32*42+10*42=42*(42-32+10)=42*20=840
19*17+11*17=17*(19+11)=340
7*379-6*379=379*(7-6)=379
19*65+12*65-31*65=65*(19+12-31)=0
16*83+19*83-32*83=83*(16+19-32)=249
927*18-927*17=927*(18-17)=927
P.S.-возможны отпечатки

Answer 2

Distributive Property of Multiplication

The distributive property of multiplication states that for any three numbers a, b, and c, the product of a and the sum of b and c is equal to the sum of the products of a and b and a and c. In mathematical notation, it can be represented as:

a * (b + c) = (a * b) + (a * c)

Using the distributive property of multiplication, we can simplify the given expressions.

Expression 1: 42 * 42 - 32 * 42 + 10 * 42

To simplify this expression, we can factor out 42 from each term:

42 * 42 - 32 * 42 + 10 * 42 = 42 * (42 - 32 + 10)

Now, we can calculate the simplified expression:

42 * (42 - 32 + 10) = 42 * 20 = 840

Expression 2: 19 * 17 + 11 * 17

Similarly, we can factor out 17 from each term:

19 * 17 + 11 * 17 = 17 * (19 + 11)

Calculating the simplified expression:

17 * (19 + 11) = 17 * 30 = 510

Expression 3: 7 * 379 - 6 * 379

Factoring out 379 from each term:

7 * 379 - 6 * 379 = 379 * (7 - 6)

Calculating the simplified expression:

379 * (7 - 6) = 379 * 1 = 379

Expression 4: 19 * 65 + 12 * 65 - 31 * 65

Factoring out 65 from each term:

19 * 65 + 12 * 65 - 31 * 65 = 65 * (19 + 12 - 31)

Calculating the simplified expression:

65 * (19 + 12 - 31) = 65 * 0 = 0

Expression 5: 16 * 83 + 19 * 83 - 32 * 83

Factoring out 83 from each term:

16 * 83 + 19 * 83 - 32 * 83 = 83 * (16 + 19 - 32)

Calculating the simplified expression:

83 * (16 + 19 - 32) = 83 * 3 = 249

Expression 6: 927 * 18 - 927 * 17

Factoring out 927 from each term:

927 * 18 - 927 * 17 = 927 * (18 - 17)

Calculating the simplified expression:

927 * (18 - 17) = 927 * 1 = 927

Therefore, the simplified expressions are as follows: - 42 * 42 - 32 * 42 + 10 * 42 = 840 - 19 * 17 + 11 * 17 = 510 - 7 * 379 - 6 * 379 = 379 - 19 * 65 + 12 * 65 - 31 * 65 = 0 - 16 * 83 + 19 * 83 - 32 * 83 = 249 - 927 * 18 - 927 * 17 = 927