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Worksheets

Algebraic identities

Total questions: 15

Worksheet time: 1hrs 15mins

Name
Class
Date
1.
(x2 - y2) × (x2 + y2) = ______
a)
2x2 + 2y2
b)
x4 - y4
c)
x4 + y4
d)
2x4
2.
(x - 8) ( x - 8) = ______
a)
x2 - 64
b)
x2 + 64
c)
x2 - 16x + 64
d)
x2 + 16x + 64
3.

Expand (4x − 5)(4x + 5).

a)

4x2 − 25

b)

4x2 + 25

c)

16x2 + 25

d)

16x2 − 25

4.

Expand (x−4)2.

a)

x2 −8x+16

b)

x2 −8x−16

c)

x2 +8x+16

d)

x2 −16

5.

 (4a+2b)2=\left(4a+2b\right)^2= 

a)

 16a2+8ab−4b216a^2+8ab-4b^2  

b)

 16a2−8ab−4b216a^2-8ab-4b^2  

c)

 16a2−8ab+4b216a^2-8ab+4b^2 

d)

 16a2+8ab+4b216a^2+8ab+4b^2 

6.

Using identity find 201 x 199

a)

3000

b)

3999

c)

39999

d)

31111

7.

Find 872 - 132

a)

7200

b)

7300

c)

7400

d)

7500

8.

 (a2+2ab +b2)\left(a^2+2ab\ +b^2\right)  is the expansion of

a)

 (a+b)2\left(a+b\right)^2  

b)

 (a−b)2\left(a-b\right)^2  

c)

 (a+b)3\left(a+b\right)^3  

d)

none of these

9.

(p - q)2

a)

p2 + 2pq + q2

b)

p2 + 2pq - q2

c)

p2 - 2pq - q2

d)

p2 - 2pq + q2

10.

(5-p)(5-p) is of the form

a)

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

b)

 (a−b)2\left(a-b\right)^2  

c)

 (a+b)2\left(a+b\right)^2  

d)

none of these

11.

The product of 93x99 is

a)

9207

b)

9000

c)

8250

d)

8976

12.

Find (102)2 - (98)2

a)

200

b)

400

c)

600

d)

800

13.

Find 96 X 104, using identity

a)

9984

b)

9974

c)

9964

d)

9954

14.

Expand (x−4)2.

a)

x2 −8x+16

b)

x2 −8x−16

c)

x2 +8x+16

d)

x2 −16

15.
The square of x2 - 2y2 is ______
a)
x4 - 4x2y2 + 4y4
b)
x4 + 4x2y2 + 4y4
c)
x4 - 4x2y2 - 4y4
d)
None of the above