F.2 maths !!!!!!!

2009-08-25 8:55 pm
Factorize:

1.m^-2mn+n^-25
2.9x(-^)+6xy+y^
3.x^+2xy+y^-z^
4.a^-4b^-9c^+12bc
5.m^-16m+64
6.12x^-12xy+3y^

simplify:

7.(4p/5q)-(p/q)+(3p/10q)
8.(2/x-4)-(2/x+4)
9.(m/m+n)+(n/m-n)
10.(ax+ay+2a)/(5x+5y+10)
11.(ab+bc+cd+ad)/4(a+c)



ps. ^ = 數字右上角有一個小2字 e.g. 4^ = 16
no.2 的(-^)是右上角有一個小-2字
/ = 除

回答 (1)

2009-08-25 9:18 pm
✔ 最佳答案
1.m2-2mn+n2-25
=(m-n)2-52
=[(m-n)-5][(m-n)+5]
=(m-n-5)(m-n+5)

2.9x2+6xy+y2
=(3x+y)2

3.x2+2xy+y2-z2
=(x+y)2-z2
=[(x+y)-z][(x+y)+z]
=(x+y-z)(x+y+z)

4.a2-4b2-9c2+12bc
=a2-(4b2-12bc+9c2)
=a2-(2b-3c) 2
=[a-(2b-3c)][a+(2b-3c)]
=(a-2b+3c)(a+2b-3c)

5.m2-16m+64
=(m-8) 2


6.12x2-12xy+3y2
=3(4x2-4xy+y2)
=3(2x-y)2


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