换元法分解因式x的6次方 14x的3次方y 49y的2次方
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x^6-y^6=(x^3+y^3)(x^3-y^3)=(x+y)(x^2-xy+y^2)(x-y)(x^2+xy+y^2)=(x+y)(x-y)[x-(根号3)yi][(x+(根号3)yi][3x-(
X(X+2)(X-2)
=x^6(x^2-1)-(x^2-1)=(x^6-1)(x^2-1)=(x^2-1)(x^4+x^2+1)(x^2-1)=(x^2-1)^2(x^4+2x^2+1-x^2)=(x^2-1)^2[(x^
x^3+6x^2+11x+6=x^3+6x^2+9x+2x+6=x(x+3)^2+2(x+3)=(x+3)[x(x+3)+2]=(x+3)(x+1)(x+2)
(x^8+x^6+x^4+x^2+1)=(x^2-1)(x^8+x^6+x^4+x^2+1)/(x^2-1)=(x^10-1)/(x^2-1)=(x^5+1)(x^5-1)/(x^2-1)=(x+1)
x³+3x²-4=x³-x²+4x²-4=x²(x-1)+4(x²-1)=x²(x-1)+4(x+1)(x-1)=x&s
x^3-5x^2+6x=x(x-2)(x-3)
x^6-y^6-2x³+1=x^6-2x³+1-y^6=(x^6-2x³+1)-y^6=(x³-1)²-(y³)²=(x³
x^3-6x^+9x=x(x^2-6x+9)=x(x-3)^2
原式==(2x^2-3)(3x^2+1)=(根号(2)x-根号3)(根号(2)x+根号3)(3x^2+1)
x的4次方+2x平方-8=x的4次方+2x平方+1-1-8=(x平方+1)平方-9=(x平方+1+3)(x平方+1-3)=(x平方+4)(x平方-2)=(x平方+4)(x-√2)(x+√2)
x^4-5x²+4=x^4-4x²+4-x²=(x²-2)²-x²=(x²-x-2)(x²+x-2)=(x-2)(x+1
x的4次方+x的2次方—6=(x^2+3)(x^2-2)=(x^2+3)(x+√2)(x-√2)
X的4次方-3x平方+2=(x²-1)(x²-2)=(x-1)(x+1)(x-√2)(x+√2)
(x-2)^3因式定理法x=2原式为零得到(x-2)(x^2-4x+4)=(x-2)^3
原式=3x(2x²-6x+1)
[(x-y)x]6+[(y-x)y]6=(x-y)6x6+(y-x)6y6=(x-y)6(x6+y6)=(x-y)6[(x2)3+(y2)3]=(x-y)6(x2+y2)(x4-x2y2+y4)欢迎来
16x的4次方-1=(4x的平方+1)(4x的平方-1)=(4x的平方+1)(2x+1)(2x-1)
x的4次方-13x²+36=(x^2-9)(x^2-4)=(x+3)(x-3)(x+2)(x-2)
x的4次方-x的3次方-7x的2次方+x+6=(x-1)(x^3-7x-6)=(x-1)(x+1)(x^2-x-6)=(x-1)(x+1)(x+2)(x-3)