Zapisz w jak najprostrzej postaci:
a)
b)
a2+4a+4-(a2-4a+4)= a2+4a+4-a2+4a-4=8a
2a2-ab+4ab-2b2-3ab=2a2-2b2=2(a2-b2)
KORZYSTAMY ZE WZORÓW SKRÓCONEGO MNOŻENIA:
* (a+b)²=a²+2ab+b²
* (a-b)²=a²-2ab+b²
(a+2)²-(a-2)² = (a²+4a+4)-(a²-4a+4) = a²+4a+4-a²+4a-4 = 8a
(a+2b)(2a-b)-3ab = (2a²-ab+4ab-2b²)-3ab = 2a²+3ab-2b²-3ab=2a²-2b² = 2(a²-b²)
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a2+4a+4-(a2-4a+4)= a2+4a+4-a2+4a-4=8a
2a2-ab+4ab-2b2-3ab=2a2-2b2=2(a2-b2)
a)
KORZYSTAMY ZE WZORÓW SKRÓCONEGO MNOŻENIA:
* (a+b)²=a²+2ab+b²
* (a-b)²=a²-2ab+b²
(a+2)²-(a-2)² = (a²+4a+4)-(a²-4a+4) = a²+4a+4-a²+4a-4 = 8a
b)
(a+2b)(2a-b)-3ab = (2a²-ab+4ab-2b²)-3ab = 2a²+3ab-2b²-3ab=2a²-2b² = 2(a²-b²)