(a+2b)²-(a-2b)²和(a+2b)²+(a-2b)².
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(a+2b)²-(a-2b)²和(a+2b)²+(a-2b)².
(a+2b)²-(a-2b)²和(a+2b)²+(a-2b)².
(a+2b)²-(a-2b)²和(a+2b)²+(a-2b)².
(1)
(a+2b)²-(a-2b)²
=(a+2b+a-2b)(a+2b-a+2b)
=(2a)(4b)
=8ab
(2)
(a+2b)²+(a-2b)²
=a²-4ab+4b²+a²+4ab+4b²
=2a²+8b²
(a+2b)²-(a-2b)²
=a²+4ab+4b²-(a²-4ab+4b²)
=8ab
(2)
(a+2b)²+(a-2b)²
=a²+4ab+4b²+a²-4ab+4b²
=2a²+8b²