急!!!!!!!中三的因式分解
A
(1-x)^2-(1-y)^2
B
12(x+y)^2-3(x-y)^2
C
(c+d)^2+4(c+d)+4
D
16(p-5)^2+(p-5)+1
E
16-24(h-5k)+9(h-5k)^2
急!!!!!!!急!!!!!!!急!!!!!!!急!!!!!!!急!!!!!!!急!!!!!!!急!!!!!!!急!!!!!!!急!!!!!!!急!!!!!!!急!!!!!!!急!!!!!!!急!!!!!!!急!!!!!!!急!!!!!!!急!!!!!!!急!!!!!!!急!!!!!!!急!!!!!!!急!!!!!!!急!!!!!!!急!!!!!!!急!!!!!!!急!!!!!!!急!!!!!!!急!!!!!!!
回答 (2)
A
(1-x)^2-(1-y)^2
=[(1-x)+(1-y)][(1-x)-(1-y)]
=(1-x+1-y)(1-x-1+y)
=(-x-y+2)(-x+y)
B
12(x+y)^2-3(x-y)^2
=3[4(x+y)^2-(x-y)^2]
=3[2(x+y)-(x-y)][2(x+y)+(x-y)]
=3(2x+2y-x+y)(2x+2y+x-y)
=3(x+3y)(3x-y)
C
(c+d)^2+4(c+d)+4
=[(c+d)+2]^2
=(c+d+2)^2
D
16(p-5)^2+8(p-5)+1
=[4(p-5)+1]^2
=(4p-20+1)^2
=(4p-19)^2
E
16-24(h-5k)+9(h-5k)^2
=9(h-5k)^2-24(h-5k)+16
=[3(h-5k)-4]^2
=(3h-15k-4)^2
收錄日期: 2021-04-13 18:18:45
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