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化簡求值題及答案100道

1.(3X+2Y)+(4X+3Y)其中X=5,Y+3

解:原式=3X+2Y+4X+3Y=7X+5Y

當X=5,Y=3時

原式=5*7+(-3)*5+20?

2.(5a^2-3b^2)+(a^2+b^2)-(5a^2+3b^2),其中a=-1,b=1?

=5a^2-3b^2+a^2+b^2-5a^2-3b^2?

=a^2-5b^2?

=(-1)^2-5*1^2?

=1-5?

=-4

1.若A=2x^2+3xy-2x-3,B=-x^2+xy+2,且3A+6B的值與x無關,求y的值?

解:?

3A+6B=6x^2+9xy-6x-9-6x^2+6xy+12?

=15xy-6x+3?

=x(15y-6)+3?

5、9x+6x^2 -3(x-2/3x^2).其中x=-2?

9x+6x? -3(x-2/3x?)?

=9x+6x?-3x+2x

=8x?+6x?

=8×(-2)?+6×(-2)?

=32-12?

=20?

整式化簡求值題及答案

簡單壹點,去分母的方程也行,要有答案。

越多越好,我有追加 ,最好是原創的,分母的方程也來點。

來自匿名用戶的提問

最佳答案由提問者推薦

1.(3X+2Y)+(4X+3Y)其中X=5,Y+3

解:原式=3X+2Y+4X+3Y=7X+5Y

當X=5,Y=3時

原式=5*7+(-3)*5+20?

2.(5a^2-3b^2)+(a^2+b^2)-(5a^2+3b^2),其中a=-1,b=1?

=5a^2-3b^2+a^2+b^2-5a^2-3b^2?

=a^2-5b^2?

=(-1)^2-5*1^2?

=1-5?

=-4?

3.2(a^2b+ab^2)-2(a^2 b-1)-2ab^2 -2其中a=-2,b=2?

=2a^2b+2ab^2-2a^2b+2-2ab^2-2?

=0?

1、已知A,B是方程x^2+2x-5=0的兩個實數根,?

求(A^2+2AB+2A)(B^2+2AB+2B)的值.?

由A,B是方程x^2+2x-5=0的兩個實數根得:?

AB=-5,A+B=-2?

A^2+2AB+2A)(B^2+2AB+2B)?

=AB(A+2B+2)(B+2A+2)?

=-5(-2+B+2)(-2+A+2)?

=-5AB?

=25?

2、1/2(x+y+z)方+1/2(x-y-z)(x-y+z)-z(x+y),其中x-y=6,xy=21.要詳細步驟?

化簡得:?

1/2(x+y+z)方+1/2(x-y-z)(x-y+z)-z(x+y)=?

1/2[(x+y)方+2z(x+y)+z方]+1/2[(x-y)方-z方]-z(x+y)=?

1/2(x+y)方+1/2(x-y)方=x方+y方?

由x-y=6,xy=21得,x方+y方=(x-y)方+2xy=78?

3、a^2-ab+2b^2=3 求2ab-2a^2-4b^2-7的值?

2ab-2a^2-4b^2-7?

=2(ab-a^2-2b^2)-7?

=-2(a^2-ab+2b^2)-7?

=(-2)*3-7?

=-6-7=-13?

4、若A=2x^2+3xy-2x-3,B=-x^2+xy+2,且3A+6B的值與x無關,求y的值?

解:?

3A+6B=6x^2+9xy-6x-9-6x^2+6xy+12?

=15xy-6x+3?

=x(15y-6)+3?

5、9x+6x^2 -3(x-2/3x^2).其中x=-2?

9x+6x? -3(x-2/3x?)?

=9x+6x?-3x+2x

=8x?+6x?

=8×(-2)?+6×(-2)?

=32-12?

=20?

6、1/4(-4x^2+2x-8)-(1/2x-1),其中x=1/2?

1/4(-4x?+2x-8)-(1/2x-1)?

=-x?+1/2x-2-1/2x+1?

=-x?-1?

=-(1/2)?-1?

=-1/4-1?

=-5/4?

7、3x'y-[2x'y-(2xyz-x'z)-4x'z]-xyz,其中x=-2,y=-3,z=1,?

:3x'y-[2x'y-(2xyz-x'z)-4x'z]-xyz?

=3x'y-2x'y+2xyz-x'z+4x'z-xyz?

=x'y-xyz+3x'z?

=4*(-3)-2*3*1+3*4*1?

=-12-6+12?

=-6?

8、(5a^2-3b^2)+(a^2+b^2)-(5a^2+3b^2),其中a=-1,b=1?

=5a^2-3b^2+a^2+b^2-5a^2-3b^2?

=a^2-5b^2?

=(-1)^2-5*1^2?

=1-5?

=-4?

9、2(a^2b+ab^2)-2(a^2 b-1)-2ab^2 -2其中a=-2,b=2?

=2a^2b+2ab^2-2a^2b+2-2ab^2-2?

=0?

10、(X-2分之1Y-1)(X-2分之1Y+1)-(X-2分之1Y-1)的平方?

其中X=1.7,Y=3.9(先化簡再求值)?

[(X-2分之1Y)-1][(X+2分之1Y)+1]-(X-2分之1Y-1)平方?

=(X+2分之1Y)平方-1-(X-2分之1Y)平方+2(X-2分之1Y)-1?

=(X+2分之1Y)平方-(X-2分之1Y)平方+2(X-2分之1Y)-2?

=2XY+2X-Y-2?

=3.9*2.4+1.4?

=10.76

2.