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13. Zapisz w postaci sumy algebraicznej.
a) (x + 1)(x + 2)(x+3)
c) (x-4)(x + 1)2 =
b) (x-2)(x + 5)(2x - 1)
d) (2x - 3)-(x + 2)​


Odpowiedź :

Hej!

a)

(x + 1)(x + 2)(x + 3) =

= ( + 2x + x + 2)(x + 3) =

= ( + 3x + 2)(x + 3) =

= + 3x² + 3x² + 9x + 2x + 6 =

= + 6x² + 11x + 6

b)

(x - 4)(x + 1)² = (x - 4)( + 2x + 1) =

= + 2x² + x - 4x² - 8x - 4 =

= - 2x² - 7x - 4

c)

(x - 2)(x + 5)(2x - 1) =

= ( + 5x - 2x - 10)(2x - 1) =

= ( + 3x - 10)(2x - 1) =

= 2x³ - + 6x² - 3x - 20x + 10 =

= 2x³ + 5x² - 23x + 10

d)

(2x - 3) - (x + 2) = 2x - 3 - x - 2 = x - 5

Pozdrawiam! - Julka