# Worksheet: Expanding an Expression to a Difference of Two Squares

In this worksheet, we will practice multiplying the sum of two terms by their difference to get the polynomial known as the difference of two squares.

Q1:

Expand the product .

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• E

Q2:

Use the difference of two squares identity to expand .

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Q3:

If , what is the value of ?

Q4:

Expand the product .

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Q5:

If and , what is the value of ?

Q6:

Complete the following: .

Q7:

If and , what is the value of ?

Q8:

If , what is the value of ?

Q9:

Given that and , find .

Q10:

If and , what is the value of ?

Q11:

What is the value of ?

Q12:

Simplify .

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Q13:

Given that and , find the value of .

Q14:

Given that and , find .

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Q15:

Expand .

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Q16:

Simplify .

Q17:

What is the area of a rectangle of length cm and width cm?

• A cm2
• B cm2
• C cm2
• D cm2
• E cm2

Q18:

If , what is the value of ?

Q19:

If and , what is the value of ?

Q20:

If and , what is the value of ?

Q21:

If and , what is the value of ?

Q22:

Given that and , find .

Q23:

If , what is the value of ?

Q24:

Using the difference of two squares, evaluate without a calculator.

Q25:

Use the identity to evaluate without using a calculator.