# 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.

**Q4: **

Expand the product .

- A
- B
- C
- D
- E

**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 .

- A
- B
- C
- D
- E

**Q13: **

Given that and , find the value of .

**Q14: **

Given that and , find .

- A
- B
- C
- D

**Q15: **

Expand .

- A
- B
- C
- D
- E

**Q16: **

Simplify .

**Q17: **

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

- A cm
^{2} - B cm
^{2} - C cm
^{2} - D cm
^{2} - E cm
^{2}

**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.