伐數分式及公式5(請盡快回答)

1.
9a / 27
= a / 3

2.
5 / 20x²
= 1 / 4x²

3.
-7y / 21y
= -1 /3

4.
18m / 27m²
= 2 / 3m

5.
2ax²y / 8axz
= xy / 4z

6.
6x⁶ / 4x⁴
= 3x² / 2

7.
15abc⁷ / 5b
= 3ac⁷

8.
3mn² / 12m³n⁵
= 1 / 4m²n³

9.
-30 x³y / 42x
= -5x²y / 7

10.
48a²b / 32a³b³
= 3 / 2ab²

11.
x²(x+y) / 2x
= x(x+y) / 2

12.
35(x-2y) / 7(x+2y)
= 5(x-2y) / (x+2y)

13.
20(a + 2b) / 16(2a + b)
= 5(a + 2b) / 4(2a + b)

14.
6x²y(3z+2) / 3xyz
= 2x(3z+2) / z

15.
8a(4x-1)⁷ / 16a²(4x-1)
= (4x-1)⁶ / 2a

16.
24(4x+y)² / 18(4x + y)³
= 4 /3(4x + y)


====
1.
(9m-3n) / 6
= 3(3m-n) / 3*2 ..(*為乘號)
= (3m-n) / 2

2.
(24x²-8x) / 8x
= 8x(3x-1) / 8x
= 3x-1

3.
a / (a²x + a²y)
= a / a²(x + y)
= 1 / a(x + y)

4.
(6m-3n) / (30mp-15mp)
= 3(2m-n) / 15mp
= (2m-n) / 5mp

5.
(mx+ny) / (5mx+5ny)
= (mx + ny) / 5(mx + ny)
= 1 / 5

6.
(x+y) / (x²-y²)
= (x+y) / (x+y)(x-y)
= 1 / (x-y)

7.
(4a²+12ab+9b²) /(2a+3b)
= (2a+3b)² / (2a+3b)
= 2a+3b

8.
(3x²-6x+3) / (x²-ax-x+a)
= 3(x²-2x+1) / [(x²-ax)-(x-a)]
= 3(x-1)² / [x(x-a)-(x-a)]
= 3(x-1)² / (x-1)(x-a)
= 3(x-1) / (x-a)

9.
(14s-35+2rs-5r) / (4rs-10r-5+2s)
= [(14s-35)+(2rs-5r)] / [(4rs-10r)+(2s-5)]
= [7(2s-5)+r(2s-5)] / [2r(2s-5)+(2s-5)]
= (7+r)(2s-5) / (2r+1)(2s-5)
= (7+r) / (2r+1)

10.
(2x³-2ax+x²-a)/ (14x²+7x)
= [(2x³+x²)-(2ax+a)] / 7x(2x+1)
= [x²(2x+1)-a(2x+1] / 7x(2x+1)
= (x²-a)(2x+1) / 7x(2x+1)
= (x²-a) / 7x


====
1.
(5x+20) / (3x²+12x)
= 5(x+4) / 3x(x+4)
= 5 / 3x

2.
(6-3a) / (2a-4)
= -(3a-6) / (2a-4)
= -3(a-2) / 2(a-2)
= -3 / 2

3.
(b²-a²) / (a-b)
= -(a²-b²) / (a-b)
= -(a-b)(a+b) / (a-b)
= -(a+b)

4.
(7-7k) / (k²-k)
= -(7k-7) / (k²-k)
= -7(k-1) / (k-1)(k+1)
= -7 / (k+1)

5.
12(x-y) / 8(y+x)
= 3(x-y) / 2(y+x)

6.
(-y²-4y) / (y+4)
= -y(y+4) / (y+4)
= -y

7.
(ad-ac) / (ac-ad+bc-bd)
= a(d-c) / [(ac-ad)+(bc-bd)]
= -a(c-d) / [a(c-d)+b(c-d)]
= -a(c-d) / (a+b)(c-d)
= -a / (a+b)

8.
2(y-x)² / (6x-6y)
= 2(x-y)² / 6(x-y)
= (x-y) / 3

9.
(q²-p²) / (p²-2pq+q²)
= -(p²-q²) / (p²-2pq+q²)
= -(p-q)(p+q) / (p-q)²
= -(p+q) / (p-q)

10.
(6x³-9x²y)/ (63y-42x)
= 3x²(2x-3y) / -21(2x-3y)
= -x² / 7

1
9a/27
=a/3

2
5/(20x^2)

=1/(4x^2)

3
-7y/(21y)
=-1/3

4
18m/(27m^2)
=2/(3m)

5
2a(x^2)y/(8axz)
=xy/(4z)

6
(6x^6)/(4x^4)
=(3x^2)/2

7.
15ab(c^2)/5b
=3ac^2

8
3m(n^2)/(12m^3 n^5)
=1/(4m^2 n^3)

9
-30(x^3)y/42x
=-(5x^2 y)/7

10
48(a^2)b/(32a^3 b^3)
=3/(2ab)

11
(x^2)(x+y)/(2x)
=x(x+y)/2

12
35(x-2y)/7(x+2y)
=5(x-2y)/(x+2y)

13
20(a+2b)/16(2a+b)
=5(a+2b)/4(2a+b)

14
16(x^2)y(3z+2)/(3xyz)
=2x(3z+2)/z

15
8a(4x-1)^2 /16(a^2)(4x-1)
=(4x-1)/2a

16
24(4x+y)^2 /18(4x+y)^3
=4/3(4x+y)

1
(9m-3n)/6
=2

2
(24x^2 -8x)/8x
=3x

3
a/(a^2 x+a^2 y)
=1/(ax+ay)

4
(6m-3n)/(30mp-15mp)
=(2m-n)/(5mp)

5
(mx+ny)/(5mx+5ny)
=1/5

6
(x+y)/(x^2 -y^2)
=1/(x-y)

7
(4a^2 +12ab+ab^2)/(2a+3b)
=(2a+3b)^2 /(2a+3b)
=2a+3b

8
(3x^2 +6x+3)/(x^2 -ax-x+a)
=3(x+1)^2 /[x(x-a)-(x-a)]
=3(x+1)^2 /[(x-a)(x-1)]

9
(14s-35+2rs-5r)/(4rs-10r-5+2s)
=[7(2s-5)+r(2s-5)]/[2r(2s-5)+(2s-5)]
=(7+r)/(2r+1)

10
(2x^3 -2ax+x^2 -a)/(14x^2 +7x)
=[2x(x^2 -a)+(x^2 -a)]/[7x(2x+1)
=(x^2 -a)/(7x)

1
(5x+20)/(3x^2 +12x)
=5(x+4)/[(3x(x+4)]
=5/(3x)

2
(6-3a)/(2a-4)
=3(2-a)/[2(a-2)]
=-3/2

3
(b^2 -a^2)/(a-b)
-a-b)

4
(7-7k)/(k^2 -k)
=7(1-k)/[k(k-1)]
=-7/x

5
12(x-y)/[8(y+x)]
=(3x-3y)/(2y+2x)

6
(-y^2 -4y)/(y+4)
=-y

7
(ad-ac)/(ac-ad+bc-bd)
=a(d-c)/[a(c-d)+b(c-d)]
=-a/(a+b)

8
2(y-x)^2 /(6x-6y)
=-(y-x)^2 /[3(y-x)]
=(x-y)/[3(y-x)]

9
(q^2-p^2)/(p^2 -2pq+q^2)
=-(p-q)(p+q)/(p-q)^2
=(p+q)/(q-p)

10
(6x^2 -9x^2 y)/(63y-42x)
=x(6x-9y)/[7(9y-6x)]
=-x/7