因式分解 分压在这儿 越快越好 32ac²+15cx²-48ax²-10c³（ax+by）²+（ay-bx）²+c²x²

因式分解 分压在这儿 越快越好

32ac²+15cx²-48ax²-10c³

（ax+by）²+（ay-bx）²+c²x²+c²y²

1+（b-a²）x²-abx²

ab（c²-d²）-（a²-d²）cd

x²y²z²-x²z-y²z+1

6ax²-9a²xy+2xy-3ay²

5x³-15x²-x+3

5a²m-15am+3bm-9bm

x3-2x²-x+2+x5-2x4

x²-x-9y²-3y

x5+y5-(x4y+xy4)

-1-2x-x²+y²

x12-3x6+1

x8+x4+1

答得越多越好

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1个回答

①原式=(32ac²-48ax²)-(10c³-15cx²)=16a(2c²-3x²)-5c(2c²-3x²)

=(16a-5c)(2c²-3x²)[有理数范围]=(16a-5c)(√2c+√3x)(√2c-√3x)

②原式=a²x²+b²y²+a²y²+b²x²+c²x²+c²y²=(a²x²+b²x²+c²x²)+(a²y²+b²y²+c²y²)

=x²(a²+b²+c²)+y²(a²+b²+c²)=(a²+b²+c²)(x²+y²)

1+(b-a²)x²-abx²；ab(c²-d²)-(a²-d²)cd题目有误

⑤原式=(x²y²z²-x²z)-(y²z-1)=x²z(y²z-1)-(y²z-1)=(x²z-1)(y²z-1)

⑥原式=(6ax²-9a²xy)+(2xy-3ay²)=3ax(2x-3ay)+y(2x-3ay)=(3ax+y)(2x-3ay)

⑦原式=(5x³-15x²)-(x-3)=5x²(x-3)-(x-3)=(x-3)(5x²-1)=(x-3)(√5x+1)(√5x-1)

⑧原式=5a²m-15am-6bm=m(5a²-15a-6b)

⑨原式=(x³-2x²)-(x-2)+(x^5-2x⁴)=x²(x-2)-(x-2)+x⁴(x-2)=(x-2)(x⁴+x²+1)

=[(x²+1)²-x²](x-2)=(x-2)(x²+x+1)(x²-x+1)

⑩原式=(x²-9y²)-(x+3y)=(x+3y)(x-3y)-(x+3y)=(x+3y)(x-3y-1)

x^5+y^5-(x⁴y+xy⁴)=(x^5-x⁴y)-(xy⁴-y^5)=x⁴(x-y)-y⁴(x-y)=(x-y)(x⁴-y⁴)

=(x-y)(x²+y²)(x²-y²)=(x+y)(x²+y²)(x-y)²

-1-2x-x²+y²=y²-(x²+2x+1)=y²-(x+1)²=(y+x+1)(y-x-1)

x¹²-3x^6+1=(x^6-1)²-x^6=(x^6+x³-1)(x^6-x³-1)[有理数范围内]

x^8+x⁴+1=(x⁴+1)²-x⁴=(x⁴+x²+1)(x⁴-x²+1)=(x²+x+1)(x²-x+1)(x²+√3x+1)(x²-√3x+1)

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