535^2+1070×465+465^2
=535^2+2*535×465+465^2
=(535+465)^2=1000^2=1000000
2a^2-ab+2b^2
=2a²+4ab+2b²-5ab
=2(a+b)²-5ab
=2*5²-5*4=30
(a-b)²=a²-2ab+b²=(a+b)²-4ab=9
a-b=±3
535^2+1070×465+465^2
=535^2+2×535×465+465^2
=(535+465)^2
=1000^2
=1000000
2a^2-ab+2b^2
=2(a^2-ab/2+b^2)
=2(a^2+2ab+b^2-2.5ab )
=2((a+b)^2-2.5ab)
=2(25-10)
=30
a-b
=√((a-b)^2)
=√(a^2-2ab+b^2)
=√(a^2+2ab+b^2-4ab)
=√((a+b)^2-4ab)
=√9
=±3
第一题:535×535+2×535×465+465×465
=(535×535+535×465)+(535×465+465×465)
=535×(535+465)+465×(535+465)
=(535+465)×(535+465)
=1000×1000
=1000000
第二题:(1) 2a^2-ab+2b^2
=2[a^2+2ab+b^2-(5/2)ab]
=2(a+b)^2-5ab
=2×5^2-5×4=30
(2) 同理(1)式还可以变为2(a-b)^2+3ab,由(1)知2(a-b)^2+3ab=30,所以可求(a-b)的值,(a-b)^2=9,a-b=+/-3,
1,1070=2*535,故535^2+1070×465+465^2=(535+465)^2
2, 2a^2-ab+2b^2=2(a+b)^2-5ab。
(a-b)^2=(a+b)^2-4ab
代入计算啦。注意a-b有两值
1. 535^2+1070×465+465^2=535*535+2*535*465+465*465=(535+465)^2=1000^2=1000000
2. (1),2a^2-ab+2b^2=2(a+b)^2-5ab=2*5^2-5*4=30
(2),(a-b)^2=(a+b)^2-4ab=5^2-4*4=9所以 a-b=3 因为ab=4,所以ab同号,如果a,b都为负数,则a+b不可能等于5,所以a,b只能是正数,所以a-b为3
ssf