Question

Розкрийте дужки і зведіть подібні доданки: 1) -8(3x+5)-15x+35; 4) 0,4(10b-3)-2,5(4b-1)+1,5; 2) 2.1-0.5(4t+0,3)-t; 5)1,3(2,4x-3,3y)-0,6(3,5x-2,4y); 3) 10 (a-1) +3(a+12)-15a; 6)-(32-1)-(3²-272)​

Answer 1

Ответ:

Пошаговое объяснение:

1) -8(3x+5)-15x+35 = - 24х - 40 - 15х + 35= - 39х -5

4) 0,4(10b-3)-2,5(4b-1)+1,5 = 4b - 1,2 - 10b + 2,5 + 1,5= -6b + 2,8

2) 2.1-0.5(4t+0,3)-t = 2,1 - 2t - 0,15 - t = -3t  + 1,95

5)1,3(2,4x-3,3y)-0,6(3,5x-2,4y) = 3,12х - 4,29у - 2,1х + 1,44у = 4,56х - 6,39у

3) 10 (a-1) +3(a+12)-15a = 10а - 10 + 3а + 36 - 15а= -2а + 26

6)-(32-1)-(3²-272)​ = -31 + 263= 232

Answer 2

1. -8(3x+5)-15x+35: = -8 * 3x - 8 * 5 - 15x + 35 = -24x - 40 - 15x + 35

Now, combine like terms: = (-24x - 15x) + (-40 + 35) = -39x - 5

2. 2.1 - 0.5(4t+0.3) - t: = 2.1 - 0.5 * 4t - 0.5 * 0.3 - t = 2.1 - 2t - 0.15 - t

Now, combine like terms: = (2.1 - 0.15) + (-2t - t) = 1.95 - 3t

3. 10(a-1) + 3(a+12) - 15a: = 10 * a - 10 * 1 + 3 * a + 3 * 12 - 15 * a = 10a - 10 + 3a + 36 - 15a

Now, combine like terms: = (10a + 3a - 15a) + (-10 + 36) = -2a + 26

4. 0.4(10b-3) - 2.5(4b-1) + 1.5: = 0.4 * 10b - 0.4 * 3 - 2.5 * 4b + 2.5 * 1 + 1.5 = 4b - 1.2 - 10b + 2.5 + 1.5

Now, combine like terms: = (4b - 10b) + (-1.2 + 2.5 + 1.5) = -6b + 2.8

5. 1.3(2.4x-3.3y) - 0.6(3.5x-2.4y): = 1.3 * 2.4x - 1.3 * 3.3y - 0.6 * 3.5x + 0.6 * 2.4y = 3.12x - 4.29y - 2.1x + 1.44y

Now, combine like terms: = (3.12x - 2.1x) + (-4.29y + 1.44y) = 1.02x - 2.85y

6. -(32-1) - (3^2 - 272): = -(31) - (9 - 272) = -31 - (-263)

Now, to subtract a negative number, you can add the positive value: = -31 + 263 = 232