Odpowiedź:
zad 1
a) 3(a - 2) = 3a - 6
b) - 4(x + y) = - 4x - 4y
c) - 5( - x + 1) = 5x - 5
d) - 3a(1/3 - a) = - a + 3a²
e) (t - 2s - 1) * 7 = 7t * 14s - 7
f) 1/2( 2a - 4b + 1) = a - 2b + 1/2
g) m(3m - 2n - 4) = 3m² - 2mn - 4m
h) 3p(2r + 5p - 1) = 6pr + 15p² - 3p
i) xy(2x - 3y + 5) = 2x²y - 3xy² + 5xy
zad 3
a) (12a + 14)/2 = 12a/2 + 14/2 = 6a + 7
b) (20p - 5)/5 = 20p/5 - 5/5 = 4p - 1
c) (14p - 21)/(- 7) = 14p/(- 7) - 21/(- 7) = - 2p + 3
d) (- 18x + 24)/(- 3) = - 18x/(- 3) + 24/(- 3) = 6x - 8
e) (6x - 2y + 10)/2 = 6x/2 - 2y/2 + 10/2 = 3x - y + 5
f) (- 8m² + 4m - 12)/4 = - 8m²/4 + 4m/4 - 12/4 = - 2m² + m - 3
g) (9p - 6s + 1)/(- 3) = - 9p/(-3) + 6s/(- 3) + 1/(- 3) = 3p - 2s - 1/3
h) (- 7a + 8b - 3)/(- 2) = - 7a/(- 2) + 8b/(- 2) - 3/(- 2) = 3,5a - 4b + 3/2 =
= 3,5a - 4b + 1,5
zad 4
a) 4(3a + 5) + 3(5a - 2) = 12a + 20 + 15a - 6 = 27a + 14
b) 2(7p - 3) - 5(3p - 1) = 14p - 6 - 15p + 5 = - p - 1
c) - 5(2 - 3m) - 2(m + 8) = - 10 + 15m - 2m - 16 = 13m - 26
d) 2x(3x - 4) + x(5 - 2x) = 6x² - 8x + 5x - 2x² = 4x² - 3x
e) 3u(2 - 4u) - 5u(u + 3) = 6u - 12u² - 5u² - 15u = - 17u² - 9u
f) - 5t(2t - 1) - 2t(3 - 5t) = - 10t² + 5t - 6t + 10t² = - t
