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Worksheets

Special Products of Binomials

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

Which one is the product of this binomial sum squared?

 (a+b)2\left(a+b\right)^2  

a)

 a2 b2a^{2\ }-b^2  

b)

 a2 +2ab+b2a^{2\ }+2ab+b^2  

c)

 a22ab+b2a^2-2ab+b^2  

d)

 a2 +b2a^{2\ }+b^2  

2.

What is the product of this binomial difference?

 (ab)2\left(a-b\right)^2  

a)

 a2 b2a^{2\ }-b^2  

b)

 a2+2ab+b2a^2+2ab+b^2  

c)

 a22ab+b2a^2-2ab+b^2  

d)

 n(n+2)2\frac{n\left(n+2\right)}{2}  

3.

What is the product?

 (xy)2\left(x-y\right)^2  

a)

 x22xy+y2x^2-2xy+y^2  

b)

 x2+2xyy2x^2+2xy-y^2  

c)

 x2+2xy+y2x^2+2xy+y^2  

d)

 x22xy+y2-x^2-2xy+y^2  

4.

What is the product?

 (x+5)2\left(x+5\right)^2  

a)

 x210x25x^2-10x-25  

b)

 x2+10x25-x^2+10x-25  

c)

 x2+10x25x^2+10x-25  

d)

 x2+10x+25x^2+10x+25  

5.

What is the product?

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

a)

 a2b2a^2-b^2  

b)

 a2+2ab+b2a^2+2ab+b^2  

c)

 a22ab+b2a^2-2ab+b^2  

d)

 a2+b2-a^2+b^2  

6.

What is the product?

 (x+3)(x3)\left(x+3\right)\left(x-3\right)  

a)

 x23x^2-3  

b)

 x9x-9  

c)

 x29x^2-9  

d)

 x2+9x^2+9  

7.

What is the Product?

 (2y+z)2\left(2y+z\right)^2  

a)

 4y2+4yz+z24y^2+4yz+z^2  

b)

 4y24yz+z24y^2-4yz+z^2  

c)

 4y2z24y^2-z^2  

d)

 b4ac\sqrt{b-4ac}  

8.

What is the Produtc?

 (m2n)2\left(m-2n\right)^2  

a)

 m2+4mn+n2m^2+4mn+n^2  

b)

 m24mn+4n2m^2-4mn+4n^2  

c)

 m24mn4n2-m^2-4mn-4n^2  

d)

 m2+4mn4n2m^2+4mn-4n^2  

9.

Which one is a difference of squares?

a)

a2+2ab+b2a^2+2ab+b^2

b)

a22ab+b2a^2-2ab+b^2

c)

a2b2a^2-b^2

10.

Which ones are perfect square trinomials? hint there are two.

a)

a2+2ab+b2a^2+2ab+b^2

b)

a22ab+b2a^2-2ab+b^2

c)

a2b2a^2-b^2

d)

n=11n2\sum_{n=1}^{\infty}\frac{1}{n^2}