29/92 Matematyka z plusem, klasa 2 gim.
Zapisz w jaknajprostszej postaci:
b) (2a - b)^2 - 2(a - b)(2a + b)
odp. 3b^2 - 2ab
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4a²-4ab+b²- ( 2 · [ 2a²+ab-2ab-b²] = 4a²-4ab+b²- ( 2 · [ 2a²-ab-b²]=
= 4a²-4ab+b²- [ 4a²-2ab-2b²]= 4a²-4ab+b²-4a²+2ab+2b²=-2ab+3b²
b)=4a^2-4ab+b^2-2(2a^2+ab-2ab-b^2)=4a^2-4ab+b^2-4a^2-2ab+4ab+2b^2= b^2-2ab+2b^2=3b^2-2ab