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MYP 4 - Week of 22 October - Binomial expansion

Total questions: 10

Worksheet time: 29mins

Name
Class
Date
1.

Expand (x+y)2

a)

x2 + y2

b)

x2 + xy + y2

c)

x2 + 2xy + y2

d)

x + y2

2.

Expand (x + 3)2

a)

x2 + 9

b)

x2 + 6x + 9

c)

x2 + 3x + 9

d)

x2 + 3

3.

Expand (2x + 3y)2

a)

4x2 + 9y2

b)

4x2 + 6xy + 9y2

c)

4x2 + 2 + 9y2

d)

4x2 + 12xy + 9y2

4.

Expand

a)
b)
c)
d)
5.

Expand (2x5 + 6y3)2

a)

4x10 + 36y6

b)

4x7 + 24x5y3 + 36y5

c)

4x10 + 24x5y3 + 36y6

d)

4x7 + 36y5

6.

x(2x + 4) =

a)

2x2 + 4x

b)

x2 + 8x

c)

2x2 + 8x

d)

8x2

7.

(x + 4)(x - 4)

a)

x2 + 16

b)

x2 + 8x + 16

c)

x2 - 8x + 16

d)

x2 - 16

8.
a)
b)
c)
d)
9.

(2x + 4y)(3x - 7y) =

a)

6x2 + 12xy - 28y2

b)

5x2 - 2xy - 3y2

c)

6x2 - 2xy - 28y2

d)

6x2 + 26xy + 28y2

10.

Expand (4x - 7)2

a)

16x2 - 56x + 49

b)

16x2 + 49

c)

64x2

d)

16x2 - 56x - 49