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mathematics UK Year 9 Mathematics (KS3)
 
Solved problems for the chapter:
 

Product of two linear expressions

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Detailed solution steps are available at:
 
https://en.openprof.com/wb/chapter:product_of_two_linear_expressions/5251/


Example 1.
Using the formula, calculate the square of the binomial:

    
Example 2.
Using the formula, calculate the square of the binomial:

    
3.
Calculate the square of the binomial:

    
4.
Using the formula, calculate the square of the binomial:

    
5.
Calculate the square of the binomial:

    
6.
Using the formula, calculate the square of the binomial:

    
7.
Using the formula, calculate the square of the binomial:

    
8.
Using the formula, calculate the square of the binomial:

    

9.
Using the formula, calculate the square of the binomial:

    
10.
Using the formula, calculate the square of the binomial:

    
11.
Calculate the square of the binomial:

    
12.
Calculate the square of the binomial:

    
13.
Calculate the square of the binomial:

    
14.
Calculate the square of the binomial:

    
15.
Fill in the missing links to the square of the binomial (perfect square).

    
16.
Calculate the square of the binomial:

    
17.
Calculate the square of the binomial:

    
18.
Calculate the square of the binomial:

    

19.
Calculate the square of the binomial:

    
20.
Calculate the square of the binomial:

    
21.

Calculate the square of the binomial:


    
22.
Calculate the square of the binomial:

    
23.

Remove the brackets:


    
24.

Expand:

   
25.

Expand:

   
26.

Expand:

   
27.

Expand:

   
28.

Expand:

   

29.

Expand:

   
30.

Expand:

   
31.

Is the following statement valid? If not, correct it.


    
32.

According to the distribution law, remove the parentheses:


    
33.

According to the distribution law, remove the parentheses:


    
34.

According to the distribution law, remove the parentheses:


    
35.

Express the following as single terms:












    
36.
Calculate in the shortest way:

    
37.
Calculate by multiplying the terms:

    
38.
Calculate by multiplying the terms:

    

39.
Calculate by multiplying the terms:

    
40.
Calculate by multiplying the terms:

    
41.
Calculate by multiplying the terms:

    
42.
Calculate by multiplying the terms:

    
43.
Calculate by multiplying the terms:

    
44.
Calculate in the shortest way:

    
45.
Calculate in the shortest way:

    
46.
Calculate in the shortest way:

    
47.
Calculate in the shortest way:

    
48.
Calculate in the shortest way:

    

49.
Calculate in the shortest way:

    
50.

Simplify the expression and calculate for what value of x will the expression be equal to :


    
51.

Simplify the expression:


    
52.

Simplify the term and then factorize it if possible:


    
53.

Simplify the expression:


    
54.

Simplify the term and finally factorize it:


    
55.

Simplify the expression:


    
56.

Is the following calculation correct?


    
57.

Calculate:







    
58.

Is the following calculation correct?


    

59.

Multiply the following:





    
60.

Is the following calculation correct?


    
61.

Find the missing term for the equality to hold.


 

   
62.

Find the missing term for the equality to hold:


 

   
63.

Which of the given terms belongs to the line:


 










   
64.

Fix the error in the following expansion:


    
65.

Simplify expressions.





    
66.

According to the distribution law, remove the brackets:

   
67.

According to the distribution law, remove the brackets:

   
68.

According to the distribution law, remove the brackets:

   

69.

Expand: