5x[2x的2次方-3x 4]
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x乘x4次方+x2次方(x3次方-1)-2x3次方(x+1)的2次方=x^5+x^5-x^2-2x^3(x^2+2x+1)=x^5+x^5-x^2-2x^5-4x^4-2x^3=-4x^4-2x^3-
x^4-2x^3-6x^2+6x+9=0x^4-2x^3-3x^2-3x^2+6x+9=0x^2(x^2-2x-3)-3(x^2-2x-3)=0(x^2-2x-3)(x^2-3)=0(x-3)(x+1
原式分解因式得x^3y^3(2x-y)=(xy)^3(2x-y)=8/3.(x^3表示x的3次方)
由x^2-x-1=0得x^2=x+1.故x^4=(x^2)^2=(x+1)^2=x^2+2x+1=3x+2.对分子有x^4+2x+1=3x+2+2x+1=5x+3.分母有x^5=3x^2+2x=5x+
假设(x^2+2x+5)(x^2+ax+b)=x^4+px^2+q则5b=q,a+2=0,b+5+2a=p,2b+5a=0p=6,q=25pq=150
4x^2+(6x^3-12x^4)/(3x^2)=4x^2+3x^2(2x-4x^2)/(3x^2)=4x^2+2x-4x^2=2x
f(x)=2x^4-x^2+5,f(-x)=2(-x)^4-(-x)^2+5=2X^4-x^2+5=f(x)所以f(x)=f(-x)是偶函数
原式=(x²-y²)²=(x+y)²(x-y)²
((((5x+4)x+3)x+2)x-1)x-1,共5次乘法,5次加法运算
x2(2表示平方)-5x+1=0两边除以xx-5+1/x=0x+1/x=5两边平方x²+2+1/x²=25x²+1/x²=23两边平方x^4+2+1/x^4=5
x^4-5x²+4=x^4-4x²+4-x²=(x²-2)²-x²=(x²-x-2)(x²+x-2)=(x-2)(x+1
x⁴+2x³+4x²+3x+2=x⁴+x³+x²+x³+x²+x+2x²+2x+2=x²(x
x²-x-1=0x²=x+1x^4=(x+1)²=x²+2x+1=(x+1)+2x+1=3x+2x^5=x^4*x=(3x+2)*x=3x²+2x=3
-5x³+2x^4+3x²+x-1=02x^4-2x³-3x³3x²+x-1=02x³(x-1)-3x²(x-1)+(x-1)=0
x平方-3x+1=0二边同除以xx-3+1/x=0x+1/x=3x^2+1/x^2=(x+1/x)^2-2=3^2-2=7x^4+1/x^4=(x^2+1/x^2)^2-2=7^2-2=47
(x^4-y^4)÷(x^2+y^2)/(x+y)=(x^2-y^2)(x^2+y^2)÷(x^2+y^2)/(x+y)=(x^2-y^2)(x^2+y^2)*(x+y)/(x^2+y^2)=(x^2
x^2-2x-1=0.即x^2-2x=1所以原式=(x^4-2x^3)-(3x^3-6x^2)+(5x^2-10x)+x-5=(x^2)*(x^2-2x)-3x*(x^2-2x)+5*(x^2-2x)