# Worksheet: Multiplying the Sum and Difference of the Same Two Terms

In this worksheet, we will practice multiplying the sum of two terms with 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: **

Given that and , find expressing your answer in simplest form.

- A
- B 28
- C 56
- D 8

**Q16: **

Expand .

- A
- B
- C
- D
- E

**Q17: **

Simplify .

**Q18: **

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}

**Q22: **

If and , what is the value of ?

**Q23: **

Given that and , find .

**Q24: **

If , what is the value of ?

**Q25: **

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