Odpowiedź:
1.
a)
5 - (6a + 8) = 5 - 6a - 8 = -6a - 3
b)
(x + y) - (x - y) = x + y - x + y = 2y
c)
3x - (5x - 9) = 3x - 5x + 9 = -2x + 9
d)
(5m - 3) - (10m - 2) = 5m - 3 - 10m + 2 = -5m - 1
e)
4ab - (-2a - 3ab) - 9a = 4ab + 2a + 3ab = 7ab + 2a
f)
-(7x² - 5x + 4) - (-4x) = -7x² + 5x - 4 + 4x = -7x² + 9x - 4
2.
7(3a - 2b) + 4(8b - a) = 21a - 14b + 32b - 4a = 17a + 18b
-8(-3m + 9p + 2) - 5(6m - 6p - 9) = 24m - 72p - 16 - 30m + 30p + 45 =
= -6m - 42p + 29
6(4p - 7r) - 2(8p - 9r) = 24p - 42r - 16p + 18r = 8p - 24r
5a(-2b + 6) - 3b(a - 4) = -10ab + 30a - 3ab + 12 = 30a - 13ab + 12
x(7x - 8) - 9(x² - 3x) = 7x² - 8x - 9x² + 27x = -2x² + 19x
0,1m(-2p + 4m) - 0,2p(3m - 5p) = -0,2mp + 0,4m² - 0,6mp + p² = 0,4m² + p² -
- 0,8mp
Szczegółowe wyjaśnienie:
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Odpowiedź:
1.
a)
5 - (6a + 8) = 5 - 6a - 8 = -6a - 3
b)
(x + y) - (x - y) = x + y - x + y = 2y
c)
3x - (5x - 9) = 3x - 5x + 9 = -2x + 9
d)
(5m - 3) - (10m - 2) = 5m - 3 - 10m + 2 = -5m - 1
e)
4ab - (-2a - 3ab) - 9a = 4ab + 2a + 3ab = 7ab + 2a
f)
-(7x² - 5x + 4) - (-4x) = -7x² + 5x - 4 + 4x = -7x² + 9x - 4
2.
a)
7(3a - 2b) + 4(8b - a) = 21a - 14b + 32b - 4a = 17a + 18b
b)
-8(-3m + 9p + 2) - 5(6m - 6p - 9) = 24m - 72p - 16 - 30m + 30p + 45 =
= -6m - 42p + 29
c)
6(4p - 7r) - 2(8p - 9r) = 24p - 42r - 16p + 18r = 8p - 24r
d)
5a(-2b + 6) - 3b(a - 4) = -10ab + 30a - 3ab + 12 = 30a - 13ab + 12
e)
x(7x - 8) - 9(x² - 3x) = 7x² - 8x - 9x² + 27x = -2x² + 19x
f)
0,1m(-2p + 4m) - 0,2p(3m - 5p) = -0,2mp + 0,4m² - 0,6mp + p² = 0,4m² + p² -
- 0,8mp
Szczegółowe wyjaśnienie: