唔識呀~~ help me pls~~ Thx~~
Factorize the following polynomials.
a) (2x+y)^(2) - y^(2)
b) (x-y)^(2) + 2(x-y) + 1
c) (x+y)^(2) - (x-y)^(2)
d) (4x-3y)^(2) - (x+y)^(2)
e) (3p+2s)^(2) - (p-2s)^(2)
factorization
2010-07-22 5:13 am
回答 (2)
2010-07-22 5:24 am
2010-07-23 12:19 am
a) (2x+y)^(2) - y^(2)
=(2x+y+y)(2x+y-y)
=(2x+2y)(2x)
=4x(x+y)
b) (x-y)^(2) + 2(x-y) + 1
=[(x-y)+1]^2
=(x-y+1)^2
c) (x+y)^(2) - (x-y)^(2)
=[(x+y)+(x-y)][(x+y)-(x-y)]
=(2x+2y)(2y)
=4y(x+y)
d) (4x-3y)^(2) - (x+y)^(2)
=[(4x-3y)+(x+y)][(4x-3y)-(x+y)]
=(5x-2y)(3x-4y)
e) (3p+2s)^(2) - (p-2s)^(2)
=[(3p+2s)+(p-2s)][(3p+2s)-(p-2s)]
=(4p)(2p+4s)
=8p(p+2s)
=(2x+y+y)(2x+y-y)
=(2x+2y)(2x)
=4x(x+y)
b) (x-y)^(2) + 2(x-y) + 1
=[(x-y)+1]^2
=(x-y+1)^2
c) (x+y)^(2) - (x-y)^(2)
=[(x+y)+(x-y)][(x+y)-(x-y)]
=(2x+2y)(2y)
=4y(x+y)
d) (4x-3y)^(2) - (x+y)^(2)
=[(4x-3y)+(x+y)][(4x-3y)-(x+y)]
=(5x-2y)(3x-4y)
e) (3p+2s)^(2) - (p-2s)^(2)
=[(3p+2s)+(p-2s)][(3p+2s)-(p-2s)]
=(4p)(2p+4s)
=8p(p+2s)
參考: me
收錄日期: 2021-04-22 00:49:54
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20100721000051KK01799