作业帮因式分解,共6题
来源：学生作业帮助网 编辑：作业帮 时间：2024/05/05 10:10:09
因式分解,共6题
因式分解,共6题
因式分解,共6题
(1)(a-b)x²+2ax+a+b=(x+1)[(a-b)x+a+b]
(2)x²-(p²+q²)x+pq(p+q)(p-q)=[x-p(p+q)][x+q(p-q)]
(3)x²-2xy-3y²+2x+10y-8=x²+(2-2y)x-3y²+10y-8=x²+(2-2y)x-(3y-4)(y-2)=(x-3y+4)(x+y-2)
(4)4x²-4xy-3y²-4x+10y-3=4x²-4(y+1)x-3y²+10y-3=4x²-4(y+1)x-(y-3)(3y-1)=(2x-3y+1)(2x+y-3)
(5)(x²+3x+2)(x²+7x+12)-120=(x+1)(x+2)(x+3)(x+4)-120=(x²+5x+4)(x²+5x+6)-120
=(x²+5x)²+10(x²+5x)-96=(x²+5x+16)(x²+5x-6)=(x-1)(x+6)(x²+5x+16)
(6)(x²+xy+y²)(x²+xy+2y²)=(x²+xy+y²)²+y²(x²+xy+y²)-12y⁴=(x²+xy+y²-3y²)(x²+xy+y²+4y²)
=(x-y)(x+2y)(x²+xy+5y²)