28/44 ( matematyka z plusem klasa III gim. )
* zapisz w postaci jak najprostszej sumy algebraicznej.
a) (x+3)(x-7)
b) -3(2x-1)(x+6)
c) -(y-1)(2y+4)
d) 2a²-(a+6)(2a-1)
e) 3(x²-1)-(x-3)(x+2)
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a) (x+3)(x-7)=x²-7x+3x-21=x²-4x-21
b) -3(2x-1)(x+6)=-3(2x²+12x-x-6)=-3(2x²+11x-6)=-6x²-33x+18
c) -(y-1)(2y+4)=-(2y²+4y-2y-4)=-(2y²+2y-4)=-2y²-2y+4
d) 2a²-(a+6)(2a-1)=2a²-(2a²-a+12a-6)=2a²-(2a²+11a-6)=2a²-2a²-11a+6=-11a+6
e) 3(x²-1)-(x-3)(x+2)=3x²-3-(x²+2x-3x-6)=3x²-3-(x²-x-6)=3x²-3-x²+x+6=2x²+x+3