分解因式9X-X次方-搜答案-智慧作业帮

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^

再问：谢啦再答：请采纳

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^3-6x^+9x=x(x^2-6x+9)=x(x-3)^2

原式＝(x+y)(x-y)[(x+y)²-(x-y)²]=(x+y)(x-y)(x+y+x-y)(x+y-x+y)=4xy(x+y)(x-y)

12m(x+y)的3次方-9n(x+y)的平方=3（x+y）²（4mx+4my-3n）如果本题有什么不明白可以追问,

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

^3代表3次方,^2代表平方X^3+X^2-Y^3-Y^2=(x^3-y^3)+(x^2-y^2)=(x-y)(x^2+xy+y^2)+(x-y)(x+y)=(x-y)(x^2+xy+y^2+x+y)

分解因式：x²-9

x²-9=x²－3²=(x＋3)(x－3)(平方差公式)

分解因式9-x²

3+x再答：乘3-x

X的4次方-3x平方+2=(x²-1）(x²-2）=（x-1)(x+1)(x-√2）(x+√2)

(x－1)(x＋3)^2

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^4-81=(x^2)^2-9^2=(x^2+9)(x^2-9)=(x^2+9)(x+3)(x-3)

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-10x的平方y的平方+9y的4次方=(x^2-y^2)(x^2-9y^2)=(x+y)(x-y)(x+3y)(x-3y)