• A. $0$
• B. $6$
• C. $6\sqrt{3}$
• D. $9$

Answer: Option C

Explanation:

• A. $\left(a+1\right)\left(a-2\right)\left(a-3\right)$
• B. $\left(a+1\right)\left(a+2\right)\left(a-3\right)$
• C. $\left(a-1\right)\left(a+2\right)\left(a-3\right)$
• D. $\left(a-1\right)\left(a-2\right)\left(a-3\right)$

Answer: Option B

Explanation:

• A. 8
• B. -6
• C. 6
• D. 4

Answer: Option D

Explanation:

• A. 4
• B. 9
• C. 16
• D. 25

Answer: Option D

Explanation:

• A. 10
• B. 14
• C. 16
• D. 18

Answer: Option D

Explanation:

• A. ${\left(a+b\right)}^2-{\left(a-b\right)}^2$
• B. ${\left(a-b\right)}^2-{\left(a+b\right)}^2$
• C. ${\left(a+b\right)}^2+{\left(a-b\right)}^2$
• D. ${\left(a+b\right)}^2-4ab$

Answer: Option C

Explanation:

• A. $\left(3x+2\right)\left(x-3\right)$
• B. $\left(3x-2\right)\left(x+3\right)$
• C. $\left(3x+2\right)\left(x+3\right)$
• D. $\left(3x-2\right)\left(x+3\right)$

Answer: Option A

Explanation:

• A. $a^3+b^3+3a^{2}b+3a{b}^2$
• B. ${\left(a+b\right)}^3-3ab\left(a+b\right)$
• C. ${\left(a+b\right)}^3+3ab\left(a+b\right)$
• D. ${\left(a-b\right)}^3-3ab\left(a-b\right)$

Answer: Option B

Explanation:

• B. 1
• C. 2
• D. 4

Answer: Option B

Explanation:

• A. abc
• B. 3abc
• C. 6abc
• D. 9abc

Answer: Option B

Explanation:

• A. 23
• B. 27
• C. 30
• D. 33

Answer: Option B

Explanation:

• A. 27
• B. 47
• C. 57
• D. 77

Answer: Option B

Explanation:

• A. 7
• B. 9
• C. 11
• D. 13

Answer: Option C

Explanation:

• A. 14
• B. 12
• C. 16
• D. 18

Answer: Option A

Explanation:

• A. $\pm 6$
• B. $\pm 4$
• C. $\pm 5$
• D. $\pm 8$

Answer: Option B

Explanation: