因式分解:3x³ 6x四次方-搜答案-智慧作业帮

x^4-x^3-5x^2-6x-4=(x^2+ax+b)(x^2+cx+d)=x^4+(a+c)x^3+(ac+b+d)x^2+(ad+bc)x+bd由于x的相同次数的项的系数要相等所以a+c=-1,

我来试下吧..注：9x四次方的数学输入是9x^4.以下雷同9x^4-3x^3-7x^2-3x-2=3x^3(3x-1)-3x(3x-1)+2x^2-2=(3x-1)(3x^3-3x)-2(x^2-1)

请采纳,谢谢!

5X²-2=（√5x+√2)(√5x-√2)x四次方-4x²+4=(x²-2)²=(x+√2)²(x-√2)²x四次方+2x²-8

原式＝x^8-x^6-10x^4-x^2+1+10x^4=x^8-x^6-x^2+1=x^6(x^2-1)-(x^2-1)=(x^6-1)(x^2-1)=(x^3+1)(x^3-1)(x+1)(x-1

x四次方+3x三次方-6x-4=(x^4-4)+3x(x^2-2)=(x^2-2)(x^2+2)+3x(x^2-2)=(x^2-2)(x^2+2+3x)=(x+1)(x+2)(x^2-2)祝学习进步

x^4+2x²-3=(x²+3)(x²-1)=(x²+3)(x+1)(x-1)

x^4+4=(x^2)^2+2^2+4x^2-4x^2=(x^2+2)^2-4x^2=(x^2+2)^2-(2x)^2=(x^2+2x+2)(x^2+2-2x)

x^4-7x^2+1=x^4+2x^2+1-9x^2=(x^2+1)^2-(3x)^2=(x^2+3x+1)(x^2-3x+1)

x^4+y^4=x^4+2x^2y^2+y^4-2x^2y^2=(x^2+y^2)^2-2x^2y^2=(x^2+y^2+√2*xy)(x^2+y^2-√2*xy)

x^4+4x^3+3x^2+4x+2=x^4+x^2+4x^3+4x+2x^2+2=x^2(x^2+1)+4x(x^2+1)+2(x^2+1)=(x^2+1)(x^2+4x+2)

x^4-2x^2-3=(x^2-3)(x^2+1)=(x+根号3）（x-根号3）（x^2+1)

x^4+3x^3-3x^2-11x-6=x^3(x+3)-3x(x+3)-2(x+3)=(x^3-3x-2)(x+3)=(x+1)(x^2-x-2)(x+3)=(x+1)(x+1)(x-2)(x+3)

令a=2x-y,b=2y-x,a+b=(2x-y)+(2y-x)=x+y(2x-y)四次方+(x+y)四次方+(2y-x)四次方=a四次方+(a+b)四次方+b四次方=(a+b)四次方+(a四次方+2

2的4次方-x的4次方=(2²+x²)(2²-x²)=(4+x²)(2+x)(2-x)很高兴为您解答,【学习宝典】团队为您答题.请点击下面的【选为满意

x平方-x四次方+12=-（x^4-x²-12）=-（x²-4）（x²+3）=-(x+2)(x-2)(x²+3)

后面-6x+8x?可能有问题

x^4+4=(x^2)^2+2^2+4x^2-4x^2=(x^2+2)^2-4x^2=(x^2+2)^2-(2x)^2=(x^2+2x+2)(x^2+2-2x)

原式=x^4+8√3x²+(48-49)=[(x²)²+(2·1·4√3)x²+(4√3)²]-49……（配成完全平方公式）=(x²+4√3