计算题 (1)4(a-b)^2-(2a+b)(-b+2a) (2)9992-1002*998 因式分解 (1)81(a-b)^2-16(a+b)^2
3个回答
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(1)解:原式=4(a2-2ab+b2)-(4a2-b2)
=4a2-8ab+4b2-4a2+b2
=5b2-8ab
(2)解:原式=999²-1002×998
=999²-(1000+2)(1000-2)
=999²-(1000²-2²)
=999²-1000²+2²
=(999+1000)(999-1000)+2²
=-1995
(3)解:原式=81(a-b)^2-16(a+b)^2
=(9(a-b)+4(a+b))(9(a-b)-4(a+b))
=(9a-9b+4a+4b)(9a-9b-4a-4b)
=(13a-5b)(5a-13b)
祝你学习进步!!!
=4a2-8ab+4b2-4a2+b2
=5b2-8ab
(2)解:原式=999²-1002×998
=999²-(1000+2)(1000-2)
=999²-(1000²-2²)
=999²-1000²+2²
=(999+1000)(999-1000)+2²
=-1995
(3)解:原式=81(a-b)^2-16(a+b)^2
=(9(a-b)+4(a+b))(9(a-b)-4(a+b))
=(9a-9b+4a+4b)(9a-9b-4a-4b)
=(13a-5b)(5a-13b)
祝你学习进步!!!
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