x^2-4xy+3y^2因式分解还有（ax^2y^2-a)÷(xy+1)【（a-2b)^2-4(a-2b)+4】÷（a-2b-2)m^4-2(m^2-1/2)

来源：学生作业帮助网 编辑：作业帮 时间：2024/11/05 15:33:47
x^2-4xy+3y^2因式分解还有（ax^2y^2-a)÷(xy+1)【（a-2b)^2-4(a-2b)+4】÷（a-2b-2)m^4-2(m^2-1/2)
xS]K@+> $fD?RR!y,>`QPpaa +*)v;_IjeBý眛sLSOcF4#a3yY>/Ӈy/@q@'S`UtDvQڠ|kɦG/MP檥N tqk֭I&'}y#O'Y40<3S<$ l)4WvE2l9˙4pUKс ,Ԗ^wAu(keA>x O#eyvnDq vKm]rVGlD]§4H&'fЂI n $tf9M)ו^AUՀ/F5cƗEd C<{s}yӓ{_Aaxhr+;4_X7Rd(̈=Z~/5_'?T[#&

x^2-4xy+3y^2因式分解还有（ax^2y^2-a)÷(xy+1)【（a-2b)^2-4(a-2b)+4】÷（a-2b-2)m^4-2(m^2-1/2)
x^2-4xy+3y^2因式分解
还有（ax^2y^2-a)÷(xy+1)
【（a-2b)^2-4(a-2b)+4】÷（a-2b-2)
m^4-2(m^2-1/2)

x^2-4xy+3y^2因式分解还有（ax^2y^2-a)÷(xy+1)【（a-2b)^2-4(a-2b)+4】÷（a-2b-2)m^4-2(m^2-1/2)
1.x²-4xy+3y²,用十字相乘法
=(x-3y)(x-y)
2.(ax²y²-a)/(xy+1)
=a[(xy)²-1]/(xy+1)
=a(xy+1)(xy-1)/(xy+1),约掉公因数xy+1
=a(xy-1)
3.[(a-2b)²-4(a-2b)+4]/(a-2b-2)
=[(a-2b)-2]²/(a-2b-2),约掉其中一个公因数a-2b-2
=a-2b-2
4.m^4-2(m²-1/2)
=m^4-2m²+1
=(m²-1)²
=(m+1)²(m-1)²

原式=x^2-(4y+1)x+3y^2-y-2(a^2+b^2-c^2-2ab)/(a-b-c)
=[(a-b)^2-c^2]/(a-b-c)
=(a-b+c)(a-b-c)/(a-b-c)
=a-b+c
(x^2-6x)^2+18(x^2-6x)+81=0
[(x^2-6x)+9]^2=0
(x^2-6x+9)^2=0
x^2-6x+9...

全部展开

原式=x^2-(4y+1)x+3y^2-y-2(a^2+b^2-c^2-2ab)/(a-b-c)
=[(a-b)^2-c^2]/(a-b-c)
=(a-b+c)(a-b-c)/(a-b-c)
=a-b+c
(x^2-6x)^2+18(x^2-6x)+81=0
[(x^2-6x)+9]^2=0
(x^2-6x+9)^2=0
x^2-6x+9=0
(x-3)^2=0
x-3=0
x=3
(ax^2y^2-a)/(xy+1)
=a(x^2y^2-1)/(xy+1)
=a(xy+1)(xy-1)/(xy+1)
=a(xy-1)
=axy-a
=x^2-(4y+1)x+(y-1)(3y+2)
=(x-y+1)(x-3y+2)

收起

3x^+4xy-2y^ 因式分解 因式分解:12xy^2(y-x)+xy^3(x-y)+4x^2y(x-y) -3x平方+4xy+10y平方 因式分解还有x4次方+x3次方+x平方+2 因式分解 因式分解 x-xy+3y-3x 2x+xy-y-4x+5y-6 因式分解:-y^3 4xy^2-4x^2y 因式分解:4xy^2 - 4x^2 y -y^3 因式分解：4a^2(x-y)+9(y-x) -4x^2y^2+x^3y+4xy^3 因式分解：4a^2(x-y)+9(y-x) -4x^2y^2+x^3y+4xy^3 x^2-xy-4+2y因式分解 因式分解x^2-3xy+y^2 x^2-3xy+y^2因式分解 因式分解-X^2+2XY-Y^3 因式分解4x^-xy-2y^ (x-y)^2+4xy怎样因式分解 (x-y)^2+4xy因式分解, 因式分解：3x^2y+6xy-4x-8 因式分解 3x^2-6xy-4x+8y 因式分解：3/4a^2x^2-9a^2xy+27a^2y^2