计算:(1)4a-2+32-a+1a2-a-2;(2)a-4a2-9(1+10a-19a2-8a+16)÷1a-3;(3)已知:x2+x-1=0,求x(1-21-
计算:(1)4a-2+32-a+1a2-a-2;(2)a-4a2-9(1+10a-19a2-8a+16)÷1a-3;(3)已知:x2+x-1=0,求x(1-21-x)÷(...
计算:(1)4a-2+32-a+1a2-a-2;(2)a-4a2-9(1+10a-19a2-8a+16)÷1a-3;(3)已知:x2+x-1=0,求x(1-21-x)÷(x+1)-x(x2-1)x2-2x+1的值.
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(1)原式=
-
+
=
+
=
+
=
;
(2)原式=
?(
+
)?(a-3)
=
?
?(a-3)
=
;
(3)原式=
?
-
=
.
∵x2+x-1=0,
∴x-1=-x2,原式=
=1
4 |
a-2 |
3 |
a-2 |
1 |
(a-2)(a+1) |
=
1 |
a-2 |
1 |
(a-2)(a+1) |
=
a+1 |
(a-2)(a+1) |
1 |
(a-2)(a+1) |
=
a+2 |
(a-2)(a+1) |
(2)原式=
a-4 |
(a+3)(a-3) |
a2-8a+16 |
(a-4)2 |
10a-19 |
(a-4)2 |
=
a-4 |
(a+3)(a-3) |
a2+2a-3 |
(a-4)2 |
=
a-1 |
a-4 |
(3)原式=
x(x+1) |
x-1 |
1 |
x+1 |
x(x+1) |
x-1 |
=
-x2 |
x-1 |
∵x2+x-1=0,
∴x-1=-x2,原式=
-x2 |
-x2 |
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