中二數學~急急急急~thank you~

1a) 20hk/5k =(20/5)(hk/k)
=4h
1b) -6m/16mn =(-6/16)(m/mn)
=-3/8n
2a) c^4 d/c^2 d^6 =c^(4-2) d^(1-6)
=c^2 d^(-5)
=c^2/d^5
2b) x^3 y^3/x^5 y^3 =x^(3-5) y^(3-3)
=x^(-2)
=1/x^2
3a) 8p^2 q^2/-4p^3 q^3 =-(8/4)p^(2-3) q^(2-3)
=-2p^(-1) q^(-1)
=-2/pq
4) 12a/2a-b × 4a-2b/3=12a/(2a-b) × 2(2a-b)/3
=(12a×2)/3
=4a×2
=8a
5) 9x+6y/4y^3 × 3y/3x+2y =3(3x+2y)/4y^3 × 3y/(3x+2y)
=(3×3y)/4y^3
=9y^(1-3)/4
=9y^(-2)/4
=9/4y^2
6) a+b/a × a^2-ab/b^2+ab =(a+b)/a × a(a-b)/b(a+b)
=(a-b)/b
7) 21/2c+6d ÷ 7d/c+3d =[21/2(c+3d)]÷[7d/(c+3d)]
=[21/2(c+3d)]×[(c+3d)/7d]
=21/(2×7d)
=3/2d
8) 11n^3/m-n ÷ 88n^2/n-m =[11n^3/(m-n)]÷[-88n^2/(m-n)]
=-[11n^3/(m-n)]×[(m-n)/88n^2]
=-(11n^3)/(88n^2)
=-n^(3-2)/8
=-n/8
9) 4-p/q-1 ÷ 8-2p/q-q^2 =[(4-p)/(q-1)]÷[2(4-p)/q(1-q)]
=[(4-p)/(q-1)]×[-q(q-1)/2(4-p)]
=-q/2
10) y=4x-5 (x)
y+5=4x
4x=y+5
x=(y+5)/4
11. L=52+6k (k)
L-52=6k
6k=L-52
k=(L-52)/6
12. S=25-3n (n)
3n=25-S
n=(25-S)/3
13. P=6n/V (n)
PV=6n
6n=PV
n=PV/6

1a)
20hk/5k
=4h

1b)
-6m/16mn
=-3/8n

2a)
c^4 d/c^2 d^6
=(c^2)/(d^5)

2b)
[(x^3)(y^3)]/[(x^5)(y^3)]
=1/(x^2)

3a)
8p^2q^2/-4p^3q^3
=2/(pq)

4.
12a/(2a-b) × (4a-2b)/3
=6a/(2a-b) × 2(2a-b)
=12a

5.
(9x+6y)/4y^3 × 3y/(3x+2y)
=3(3x+2y)/4y^2 × 3/(3x+2y)
=9/4y^2

6.
(a+b)/a × (a^2-ab)/(b^2+ab)
=(a+b)/a × a(a-b)/b(b+a)
=(a-b)/b

7.
21/(2c+6d) ÷ 7d/(c+3d)
=21/2(c+3d) × (c+3d)/7d
=3/2d

8.
11n^3/(m-n) ÷ 88n^2/(n-m)
=11n^3/(m-n) × (n-m)/88n^2
=n/8

9.
(4-p)/(q-1) ÷ (8-2p)/(q-q^2)
=(4-p)/(q-1) × q(1-q)/2(4-p)
=-q/2

10.
y = 4x-5 (x)
y+5=4x
x=(y+2)/4

11.
L = 52+6k (k)
L-52=6k
k=(L-52)/6

12
S = 25-3n (n)
S-25=-3n
n=(25-S)/3

13.
P = 6n/V (n)
PV=6n
n=(PV)/6

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