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Worksheets

Pemfaktoran dan Pecahan Algebra

Total questions: 10

Worksheet time: 9mins

Name
Class
Date
1.

Faktorkan ,
Factorise,

 2x2+15x−82x^2+15x-8  

a)

 (2x−1)(x+8)\left(2x-1\right)\left(x+8\right)  

b)

 (2x−4)(x+2)\left(2x-4\right)\left(x+2\right)  

c)

 (2x+8)(x−1)\left(2x+8\right)\left(x-1\right)  

d)

 (2x+4)(x−2)\left(2x+4\right)\left(x-2\right)  

2.

Faktorkan
Factorise 

 4a−284a-28  

a)

 4(a−7)4\left(a-7\right)  

b)

 4(a+7)4\left(a+7\right)  

c)

 a(28)a\left(28\right)  

d)

 2a(2a−14)2a\left(2a-14\right)  

3.

Faktorkan
Factorise 

 p2−16p+64p^2-16p+64  

a)

 (p−8)2\left(p-8\right)^2  

b)

 (p+8)2\left(p+8\right)^2  

c)

 (p+8)(p−8)\left(p+8\right)\left(p-8\right)  

d)

 (p−16)(p+4)\left(p-16\right)\left(p+4\right)  

4.

Faktorkan,  
Factorise,


 4a2−644a^2-64  

a)

 4(a+4)(a−4)4\left(a+4\right)\left(a-4\right)  

b)

 4(a+4)24\left(a+4\right)^2  

c)

 4(a−4)24\left(a-4\right)^2  

d)

 4(a−16)4\left(a-16\right)  

5.

Kembangkan ungkapan algebra berikut, 
Expand the following algebraic expressions,


 (3b−6)2\left(3b-6\right)^2  

a)

 9b2−36b+369b^2-36b+36  

b)

 9b2+36b+369b^2+36b+36  

c)

 9b2+36b−369b^2+36b-36  

d)

 9b2+369b^2+36  

6.

Kembangkan ungkapan algebra berikut,
Expand the following algebraic expressions,


 (4e−2f)(e+3f)\left(4e-2f\right)\left(e+3f\right)  

a)

 4e2+10ef−6f24e^2+10ef-6f^2  

b)

 4e2+10ef+6f24e^2+10ef+6f^2  

c)

 4e2−6f24e^2-6f^2  

d)

 4e2+14ef−6f4e^2+14ef-6f  

7.

Kembangkan ungkapan algebra berikut, 
Expand the following algebraic expressions,


 (r−4s)2+3rs\left(r-4s\right)^2+3rs  

a)

 r2−5rs+16s2r^2-5rs+16s^2  

b)

 r2−8rs+16s2r^2-8rs+16s^2  

c)

 r2−11rs+16s2r^2-11rs+16s^2  

d)

 r2−8rs+16sr^2-8rs+16s  

8.

Kembangkan ungkapan algebra berikut,  
Expand the following algebraic expressions,


 −3(2t−3u)−(t−4u)-3\left(2t-3u\right)-\left(t-4u\right)  

a)

 13u−7t13u-7t  

b)

 13u+7t13u+7t  

c)

 7t−13u7t-13u  

d)

 5u+7t5u+7t  

9.

Kembangkan
Expend

 5(m−2n)+2(n−m)5\left(m-2n\right)+2\left(n-m\right)  



a)

 3m−8n3m-8n  

b)

 3m+8n3m+8n  

c)

 7m−12n7m-12n  

d)

 7m+12n7m+12n  

10.

Permudahkan

Simplify


 8x2y3x÷2x3y\frac{8x^2y}{3x}\div\frac{2x}{3y}  



a)

 4y24y^2  

b)

 4x24x^2  

c)

 4x2\frac{4}{x^2}  

d)

 4y2\frac{4}{y^2}