(1)1/(x+1)-x+1 (2)2/(a+1)-(a-2)/(a^2-1)÷(a^2-2a)/(a^2-2a+1) (3)20^2-20*38+19^2(1)1/(x+1)-x+1 (2)2/(a+1)-(a-2)/(a^2-1)÷(a^2-2a)/(a^2-2a+1)(3)20^2-20*38+19^2(4)899^2-101^2 (5)1/2* 3.7^2-3.7*2.7+1/2* 2.7^2

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(1)1/(x+1)-x+1 (2)2/(a+1)-(a-2)/(a^2-1)÷(a^2-2a)/(a^2-2a+1) (3)20^2-20*38+19^2(1)1/(x+1)-x+1 (2)2/(a+1)-(a-2)/(a^2-1)÷(a^2-2a)/(a^2-2a+1)(3)20^2-20*38+19^2(4)899^2-101^2 (5)1/2* 3.7^2-3.7*2.7+1/2* 2.7^2
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(1)1/(x+1)-x+1 (2)2/(a+1)-(a-2)/(a^2-1)÷(a^2-2a)/(a^2-2a+1) (3)20^2-20*38+19^2(1)1/(x+1)-x+1 (2)2/(a+1)-(a-2)/(a^2-1)÷(a^2-2a)/(a^2-2a+1)(3)20^2-20*38+19^2(4)899^2-101^2 (5)1/2* 3.7^2-3.7*2.7+1/2* 2.7^2
(1)1/(x+1)-x+1 (2)2/(a+1)-(a-2)/(a^2-1)÷(a^2-2a)/(a^2-2a+1) (3)20^2-20*38+19^2
(1)1/(x+1)-x+1 (2)2/(a+1)-(a-2)/(a^2-1)÷(a^2-2a)/(a^2-2a+1)
(3)20^2-20*38+19^2
(4)899^2-101^2 (5)1/2* 3.7^2-3.7*2.7+1/2* 2.7^2

(1)1/(x+1)-x+1 (2)2/(a+1)-(a-2)/(a^2-1)÷(a^2-2a)/(a^2-2a+1) (3)20^2-20*38+19^2(1)1/(x+1)-x+1 (2)2/(a+1)-(a-2)/(a^2-1)÷(a^2-2a)/(a^2-2a+1)(3)20^2-20*38+19^2(4)899^2-101^2 (5)1/2* 3.7^2-3.7*2.7+1/2* 2.7^2
(1)1/(x+1)-x+1
=1/(x+1)-(x-1)
=1/(x+1)-(x-1)(x+1)/(x+1)
=1/(x+1)-(x^2-1)/(x+1)
=-x^2/(x+1)
(2)2/(a+1)-(a-2)/(a^2-1)÷(a^2-2a)/(a^2-2a+1)
=2/(a+1)-(a-2)/[(a+1)(a-1)]×(a-1)^2/[a(a-2)]
=2/(a+1)-(a-1)/[a(a+1)]
=[2a-(a-1)]/[a(a+1)]
=(a+1)/a(a+1)
=1/a
(3)20^2-20*38+19^2
=20^2-2×20×19+19^2
=(20-19)^2
=1
(4)899^2-101^2
=(899+101)*(899-101)
=1000*798
=798000
(5)1/2* 3.7^2-3.7*2.7+1/2* 2.7^2
=1/2*( 3.7^2-2*3.7*2.7+ 2.7^2)
=1/2*(3.7-2.7)^2
=1/2

(1)-[x^2/(1+x)]
(2)1/(a-2)
(3)20(20-38)+19^2
=-18*20+19^2
=1
(4)(900-1)^2-(100+1)^2
=898000