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zapisz w postaci sumy algebraicznej (x-2)(x+5)(2x-1), (2x-3)²(x+2) ​

Odpowiedź :

Hej!

1)

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

= (x² + 5x - 2x - 10)(2x - 1) =

= (x² + 3x - 10)(2x - 1) =

= 2x³ - x² + 6x² - 3x - 20x + 10 =

= 2x³ + 5x² - 23x + 10

2)

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

= (2x² - 6x - 6x + 9)(x + 2) =

= (2x² - 12x + 9)(x + 2) =

= 2x³ + 4x² - 12x² - 24x + 9x + 18 =

= 2x³ - 8x² - 15x + 18

Pozdrawiam! - Julka