4道因式分解.①4x²+2x+y+y²+4xy②x²-y²+4y-1③16x&#

来源：学生作业帮编辑：神马作文网作业帮分类：数学作业时间：2024/09/22 08:35:59

4道因式分解.
①4x²+2x+y+y²+4xy
②x²-y²+4y-1
③16x²-24xy-1+9y²
④4x²-16xy+4y²-6x+6y

①4x²+2x+y+y²+4xy
= 4x²+4xy+y²+2x+y
= (2x+y)²+2x+y
= (2x+y)(2x+y+1)
②抄错题了,应为x²-4y²+4y-1
x²-4y²+4y-1
= x²-(2y-1)²
= (x+2y-1)(x-2y+1)
③16x²-24xy-1+9y²
= 16x²-24xy+9y²-1
= (4x-3y)²-1
= (4x-3y+1)(4x-3y-1)
④抄错题了,应为4x²-8xy+4y²-6x+6y
4x²-8xy+4y²-6x+6y
=2(x²-2xy+y²)-6(x-y)
= 2(x-y)²-6(x-y)
= 2(x-y)(x-y-3)

4道因式分解.①4x²+2x+y+y²+4xy②x²-y²+4y-1③16x&# 多项式因式分解 1,(x-y)³-(x-y)²(x+y) 2,x(x²-xy)-(4x&# 因式分解,x²y²-4+xy²-2y. 因式分解：x²-y²+4xy 16x²y-16x³-4xy 因式分解因式分解 -x²y-4xy-4y 因式分解 -4xy＋x²y＋4y 因式分解：-x³-4xy²+4x²y 谢谢（关于因式分解）2x²+xy-y²-4x+5y-6x²-2x-14(x-y+1)+y( 因式分解（1）.(x+y)(x+y-6)+9 （2）.x²-16y²-x-4y 因式分解:4x²y+4xy²+xy² 因式分解4x²-2y+4x-y²