1、在多项式中x²-4x+4、1+16a²、x²-1、x²+xy+y²
1个回答

1.x^2-4x+4=(x-2)^2

9x^2-3xy+1/4y^2=(3x-1/2y)^2

两个

2.我猜应该是(2x+y)^2+(2x-y)^2

答案是8x^2+2y^2

3.=(m)^2-(2n-1)^2

4.21分之517

5.原式=(-4x)^2+2*(-4x)*(3y)+(3y)^2

=16x^2-24xy+9y^2

6.原式=-(x+2y)(x+2y)

=-(x+2y)^2

=-[(x)^2+2*x*2y+(2y)^2]

=-x^2-4xy-4y^2

7.原式=(2x-3y)^2+(3x-4y)(3x+4y)

=4x^2-12xy+9y^2+9x^2-16y^2

=13x^2-12xy-7y^2

8.原式=x(x^2+2x+1)-x^3-x^2-x-7

=x^3+2x^2+x-x^3-x^2-x-7

=x^2-7

∵x^2-4=0

∴x^2=4

∴x^2-7=4-7=-3

9.N=-3ab

10.=3^2+(-1)^2=10

11.减少了a^2-(a-b)^2

=a^2-(a^2-2ab+b^2)

=2ab-b^2

12.xy=1

13.7

14.13

15.原式=(100-0.2)^2

=100^2-2*100*0.2+(0.2)^2

=9960.04

16.原式=[(2a+b)(2a-b)]^2

=(4a^2-b^2)^2

=16a^2-8a^2b^2+b^4

17.原式=[a-(2b-c)][a+(2b-c)]

=a^2-(2b-c)^2

=a^2-(4b^2-4ab+c^2)

=a^2+4ab-4b^2-c^2

18.∵a-b=3

∴(a-b)^2=9

∴a^2-2ab+b^2=9

∴原式=9分之2

19.∵(x+y)^2=25,(x-y)^2=9

∴x^2+2xy+y^2=25——(1)

x^2-2xy+y^2=9——(2)

∴(1)+(2)得:

2(x^2+y^2)=34

∴x^2+y^2=17

∴2xy=8

∴xy=4

20.符合

理由:工业园面积为:(a+b)^2m^2

即(a^2+2ab+b^2)m^2

而砖瓦窑与矩形土坑面积之和为:

(a^2+b^2+2ab)m^2

所以符合要求

21.=1-4a^2

22.=-6

23.=2010

24.原式=a^2-b^2+b^2-2ab

=a^2-2ab

当a=2,b=1时,

原式=a^2-2ab

=2^2-2*2*1

=4-4=0

25.展开代数式有:

x^4+(3+n)x^3+(3n-m-3)x^2-(mn+9)x+3m

∵不含x^3、x^2项

∴3+n=0,3n-m-3=0

解得:n=-3,m=-12.

希望能及时采纳.