# Worksheet: Simplifying Multivariable Polynomial Expressions

In this worksheet, we will practice simplifying multivariable polynomials by expanding parentheses, by multiplying by monomials, and by adding and subtracting terms of the same power.

**Q4: **

Simplify .

- A
- B
- C
- D

**Q5: **

Express, in terms of , , and , the sum of the surface areas of the two given figures.

- A
- B
- C
- D
- E

**Q6: **

Find an expression for the area of the shape below.

- A
- B
- C
- D
- E

**Q7: **

Expand and simplify .

- A
- B
- C
- D

**Q8: **

Is the equation an identity?

- A yes
- Bno

**Q9: **

Is the equation an identity?

- A no
- B yes

**Q10: **

Factorise fully .

- A
- B
- C
- D
- E

**Q11: **

Which of the following is equivalent to ?

- A
- B
- C
- D
- E

**Q12: **

Simplify .

- A
- B
- C
- D
- E

**Q13: **

Simplify , and find the value of the expression when .

- A , 3
- B , 5
- C , 3
- D , 5

**Q14: **

Determine which of the following expressions is equivalent to .

- A
- B
- C
- D
- E

**Q15: **

Express, in terms of , , and , the sum of the surface areas of the two given figures.

- A
- B
- C
- D
- E

**Q16: **

Simplify .

- A
- B
- C
- D

**Q17: **

Simplify .

- A
- B
- C
- D

**Q18: **

Expand and simplify .

- A
- B
- C
- D