Odpowiedź:
Szczegółowe wyjaśnienie:
Poziom A
a)
(x - 4)(x - 2) = x² - 2x - 4x + 8 = x² - 6x + 8
b)
(3k - 2)(k - 4) = 3k² - 12k - 2k + 8 = 3k² - 14k + 8
c)
(2m - 1)(m + 1) = 2m² + 2m - m - 1 = 2m² + m - 1
d)
(6c + 1)(c - 1) = 6c² - 6c + c - 1 = 6c² - 5c - 1
e)
(4 - d)(2d + 2) = 8d + 8 - 2d² - 2d = -2d² + 6d + 8
f)
(5 - n)(n + 3) = 5n + 15 - n² - 3n = -n² + 2n + 15
g)
(2x - 1)(x - 2) = 2x² - 4x - x + 2 = 2x² - 5x + 2
h)
(5a + 3)(a - 1) = 5a² - 5a + 3a - 3 = 5a² - 2a - 3
i)
(y - 4)(1 - 3y) = y - 3y² - 4 + 12y = -3y² + 13y - 4
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Odpowiedź:
Szczegółowe wyjaśnienie:
Poziom A
a)
(x - 4)(x - 2) = x² - 2x - 4x + 8 = x² - 6x + 8
b)
(3k - 2)(k - 4) = 3k² - 12k - 2k + 8 = 3k² - 14k + 8
c)
(2m - 1)(m + 1) = 2m² + 2m - m - 1 = 2m² + m - 1
d)
(6c + 1)(c - 1) = 6c² - 6c + c - 1 = 6c² - 5c - 1
e)
(4 - d)(2d + 2) = 8d + 8 - 2d² - 2d = -2d² + 6d + 8
f)
(5 - n)(n + 3) = 5n + 15 - n² - 3n = -n² + 2n + 15
g)
(2x - 1)(x - 2) = 2x² - 4x - x + 2 = 2x² - 5x + 2
h)
(5a + 3)(a - 1) = 5a² - 5a + 3a - 3 = 5a² - 2a - 3
i)
(y - 4)(1 - 3y) = y - 3y² - 4 + 12y = -3y² + 13y - 4