# FIND THE EXPANSION USING THREE BASIC ALGEBRAIC IDENTITIES WORKSHEET

Expand the following using algebraic identities given above.

Problem 1 :

(2x + y)2

Solution

Problem 2 :

(3a + 2b)2

Solution

Problem 3 :

(x2 + 2)2

Solution

Problem 4 :

(√2 + x)2

Solution

Problem 5 :

(x - 1/x)2

Solution

Problem 6 :

(2 - x2)2

Solution

Problem 7 :

(8y - 5z)2

Solution

Problem 8 :

x2 - 9

Solution

Problem 9 :

x2y2 - 1

Solution

Problem 10 :

3x2 - 27y2

Solution

Problem 11 :

400x2 - 169y2

Solution

Problem 12 :

(a+b)2 - c2

Solution

Problem 13 :

(3x + 1)2 - 9

Solution

 1)  4x2 + 4xy + y22)  9a2 + 12ab + 4b23)  x4 + 4x2 + 44)  2 + 2√2x + x25)  x2 - 2 + (1/x2)6)  4 - 4x2 + x47) 64y2 - 80yz + 25z2 8)  (x + 3) (x - 3)9)  (xy + 1) (xy - 1)10)  3(x + 3y) (x - 3y)11)  (20x + 13y) (20x - 13y)12)  (a + b + c) (a + b - c)13) (3x + 4) (3x - 2)

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