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a) (2x +1) + (x² - 3x + 2) = 2x + 1 + x² - 3x + 2 = x² - x + 3
b) (3y²) + (4y + 3) = 3y² + 4y + 3
zad 2
a) (5a - 4) - (3a - 5) = 5a -4 - 3a + 5 = 2a + 1
b) (4b + c²) - (- 2b + c²) = 4b + c² + 2b - c² = 6b
zad 3
a) (2x + 3y) x (3x -2y) = 6x² + 9xy - 4xy - 6y² = 6x² + 5xy - 6y²
(x - 2 ) x (x + 3)(x - 1) = (x - 2) x (x² + 3x - x - 3) = (x -2)(x² + 2x - 3) =
= x³ - 2x² + 2x² - 4x - 3x + 6 = x³ - 7x + 6
b)
(x - 2)(x + 3)(x - 1) = (x + 2)(x² + 3x - x - 3) = (x + 2)(x² + 2x -3) =
= x³ + 2x² + 2x² + 4x - 3x - 6 = x³ + 4x² + x - 6
zad 4
a)
(x + 2)(x - 3) - 4(x² - 1) = x² +2x -3x - 6 - 4x² +4 = - 3x² - x - 2
b)
(2p + 1)(p² - 3) - (p² + 1)(4p - 3) = 2p³ + p² - 6p - 3 - (4p³ + 4p - 3p² - 3) =
= 2p³ + p² - 6p - 3 - 4p³ - 4p + 3p² + 3 = - 2p³ + 4p² - 10p