已知,a加b等于2,ab等于1,则a的平方减b的平方等于多少?
人气:152 ℃ 时间:2019-08-20 09:39:26
解答
(a+b)^2=a^2+b^2+2ab
4 =a^2+b^2+2 a^2+b^2=2
(a-b)^2=a^2+b^2-2ab
=2-2
=0
所以a-b=0
a^2-b^2
=(a+b)(a-b)
=2x0
=0因为 a+b=2
所以 a=2-b
a^2-b^2+4b
=(a+b)(a-b)+4b
=(2-b+b)(2-b-b)+4b
=2x(2-2b)+4b
=4-4b+4b
=4
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