【a+b+c】²+【a+b-c】²-【a-b-c】²-【a-b+c】²
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【a+b+c】²+【a+b-c】²-【a-b-c】²-【a-b+c】²
【a+b+c】²+【a+b-c】²-【a-b-c】²-【a-b+c】²
【a+b+c】²+【a+b-c】²-【a-b-c】²-【a-b+c】²
【a+b+c】²+【a+b-c】²-【a-b-c】²-【a-b+c】² 因式分解怎么做啊?
=(a+b+c+a-b-c)(a+b+c-a+b+c)+(a+b-c+a-b+c)(a+b-c-a+b-c)
=2a×(2b+2c)+2a×(2b-2c)
=4ab+4ac+4ab-4ac
=8ab;
很高兴为您解答,skyhunter002为您答疑解惑
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用平方差公式。
【a+b+c】²+【a+b-c】²-【a-b-c】²-【a-b+c】²
=(a+b+c)²-(a-b-c)²+(a+b-c)²-(a-b+c)²
=(a+b+c+a-b-c)(a+b+c-a+b+c) +(a+b-c+a-b+c)(a+b-c-a+b-c)
=2a(2b+2c)+2a(2b-2c)
=2a(2b+2c+2b-2c)
=8ab