1.Pomnóż i zredukuj wyrazy podobne : a) (x² + 3x + 3)(x - 1) - (x + 3)(x - 2) b) (a² + 3a + 2)(a - 3) - (a - 1)(3a² - a + 1) c) 3(x + y) + x² - y² + (x + y)(2x - 3y) 2. Zapisz iloczyn w postaci sumy : a) 3x(x + 1)(x - 3) b) 5(x - 2)( x + 3)

zadanie 1 a) (x² + 3x + 3)(x - 1) - (x + 3)(x - 2) x³-x²+3x²-3x+3x-3-(x²-2x+3x-6)= x³-x²+3x²-3x+3x-3-x²+2x-3x+6= =-x+x³+x²+3 b) (a² + 3a + 2)(a - 3) - (a - 1)(3a² - a + 1)= a³-3a²+3a²-9a+2a-6 - (3a³-a²+a-3a²-a-1) = a³-3a²+3a²-9a+2a-6 - 3a³+a²-a+3a²+a+1 = =-2a³+4a²-7a-5 c) 3(x + y) + x² - y² + (x + y)(2x - 3y) =3x+3y+x²-y²+2x²-3xy+2xy-3y²= =-xy-4y²+3x²+3x+3y zadanie 2 a) 3x(x + 1)(x - 3)=3x(x²-3x+x-3)= 3x³-9x²+3x²-9x=3x³-6x²-9x b) 5(x - 2)( x + 3)=5(x²+3x-2x-6)=5x²+15x-10x-30=5x²+5x-30