Question

сравни(>,<,=)   (a+b)*5...a*5+b*4                      (c*2)*(a*5)...a*c*10                      (t+56)-6...t+40            (a-b)*4...a*4-b*4       d+12+f+8...21+d+f             119-(19+t)...110-t

Answer 1

(a+b) *5.>..a*5+b*4                      (c*2)*(a*5).=..a*c*10                      (t+56)-6.>..t+40            (a-b)*4..=.a*4-b*4       d+12+f+8.<..21+d+f             119-(19+t)..<.110-t

Answer 2

To compare the given expressions, let's simplify each expression and then evaluate them.

1. (a+b)5 vs. a5+b*4

Simplifying (a+b)*5: (a+b)*5 = 5a + 5b

Simplifying a5+b4: a5 + b4 = 5a + 4b

To compare them, we need to determine the relationship between 5a + 5b and 5a + 4b.

Since the coefficients of 'a' are the same in both expressions and the coefficient of 'b' is greater in the first expression (5b) than in the second expression (4b), we can conclude that (a+b)5 > a5+b*4.

2. (c2)(a5) vs. ac*10

Simplifying (c2)(a5): (c2)(a5) = 10ac

To compare it with ac10, we can see that 10ac is the same as ac10. Therefore, (c2)(a5) = ac*10.

3. (t+56)-6 vs. t+40

Simplifying (t+56)-6: (t+56)-6 = t + 50

To compare it with t+40, we can see that t + 50 is greater than t + 40. Therefore, (t+56)-6 > t+40.

4. (a-b)4 vs. a4-b*4

Simplifying (a-b)*4: (a-b)*4 = 4a - 4b

Simplifying a4-b4: a4 - b4 = 4a - 4b

Both expressions are equal, so (a-b)4 = a4-b*4.

5. d+12+f+8 vs. 21+d+f

Simplifying d+12+f+8: d + 12 + f + 8 = d + f + 20

To compare it with 21+d+f, we can see that d + f + 20 is less than 21 + d + f. Therefore, d+12+f+8 < 21+d+f.

6. 119-(19+t) vs. 110-t

Simplifying 119-(19+t): 119 - (19 + t) = 100 - t

To compare it with 110-t, we can see that 100 - t is less than 110 - t. Therefore, 119-(19+t) < 110-t.

Summary of comparisons:

1. (a+b)5 > a5+b*4
2. (c2)(a5) = ac*10
3. (t+56)-6 > t+40
4. (a-b)4 = a4-b*4
5. d+12+f+8 < 21+d+f
6. 119-(19+t) < 110-t