6x^2+xy-2y^2+2x-8y-8和x^3-3x^2-13x+15以及(y+1)^4+(y+3)^4-272还有x
来源:学生作业帮 编辑:大师作文网作业帮 分类:数学作业 时间:2024/09/20 05:39:03
6x^2+xy-2y^2+2x-8y-8和x^3-3x^2-13x+15以及(y+1)^4+(y+3)^4-272还有x^4 +x^2y^2+y^4分解因式具体过程!
1.
6x^2+xy-2y^2+2x-8y-8
=(2x-y)(3x+2y)+2(x-4y)-8
=(2x-y-2)(3x+2y+4)
2.
x^3-3x^2-13x+15
=x^3-3x^2+2x-15x+15
=x(x^2-3x+2)-15(x-1)
=x(x-2)(x-1)-15(x-1)
=(x-1)[x(x-2)-15]
=(x-1)[x^2-2x-15]
=(x-1)(x-5)(x+3)
3.
(y+2-1)^4+(y+2+1)^4-272
令x=y+2
原式=(x-1)^4+(x+1)^4-272
2(x^4+6x^2+1)-272
=2(x^4+6x^2-135)
=2(x^2-9)(x^2+15)
=2(x+3)(x-3)(x^2+15)
=2(y+5)(y-1)(y^2+4y+19)
4.
x^4+x^2y^2+y^4
=x^4+2x^2y^2+y^4-x^2y^2
=(x^2+y^2)^2-x^2y^2
=(x^2+y^2+xy)(x^2+y^2-xy)
6x^2+xy-2y^2+2x-8y-8
=(2x-y)(3x+2y)+2(x-4y)-8
=(2x-y-2)(3x+2y+4)
2.
x^3-3x^2-13x+15
=x^3-3x^2+2x-15x+15
=x(x^2-3x+2)-15(x-1)
=x(x-2)(x-1)-15(x-1)
=(x-1)[x(x-2)-15]
=(x-1)[x^2-2x-15]
=(x-1)(x-5)(x+3)
3.
(y+2-1)^4+(y+2+1)^4-272
令x=y+2
原式=(x-1)^4+(x+1)^4-272
2(x^4+6x^2+1)-272
=2(x^4+6x^2-135)
=2(x^2-9)(x^2+15)
=2(x+3)(x-3)(x^2+15)
=2(y+5)(y-1)(y^2+4y+19)
4.
x^4+x^2y^2+y^4
=x^4+2x^2y^2+y^4-x^2y^2
=(x^2+y^2)^2-x^2y^2
=(x^2+y^2+xy)(x^2+y^2-xy)
6x^2+xy-2y^2+2x-8y-8和x^3-3x^2-13x+15以及(y+1)^4+(y+3)^4-272还有x
x^8-x^7y+x^6y^2-x^5y^3+x^4y^4-x^3y^5+x^2y^-xy^7+y^8
计算(x^8-x^7y+x^5y^3-x^4y^4+x^3y^5-x^y^7+y^8)(x^2+xy+y^2)
1、(-7x^y)(2x^y-3xy^3+xy) 2、((x-y)^6)/((y-x)^3)/(x-y)
若x+y=-1,则x^4+5x^3y+x^2y+8x^2y^2+xy^2+5xy^3+y^4=( )
1.((y+2x)(-2x+y)+4(x+2y)^2)/3y 2.(2(x-y)^3-8(x-y)^2(x+y)+6y(
化简:x-y/x+3y÷x^-y^2/x^2+6xy+9y^2-(xy/x+y)
[x(x^2y^2-xy)-y(x^2-x^3y)]/3x^2y
因式分解:3x^2y+6xy-4x-8
因式分解 3x^2-6xy-4x+8y
已知3x^2+xy-2y^2=0,求{(x+y)/(x-y)+4xy/(y^2-x^2)}/{(x+3y)*(x-y)}
{3(x+y)-4(x-y)=4 {x+y/2 + x-y/6=1