• A. $\left(x+y\right)\left(x+3y\right)\left(x+5y\right)$
• B. $\left(x+y\right)\left(x+2y\right)\left(x+3y\right)$
• C. $\left(x+y\right)\left(x+4y\right)\left(x+3y\right)$
• D. $\left(x-y\right)\left(x+y\right)\left(x+2y\right)$

Answer: Option B

Explanation:

• A. (x+y)(x+3y)(x+5y)
• B. (x+y)(x+2y)(x+3y)
• C. (x+y)(x+4y)(x+3y)
• D. (x-y)(x+y)(x+2y)

Answer: Option B

Explanation:

• A. X+1
• B. X-1
• C. (X+1)( X-1) (X2-X+1)
• D. X( X-1)

Answer: Option A

Explanation:

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

Answer: Option A

Explanation:

• A. $x - y - 1$
• B. $x + y - 1$
• C. $x - y + 1$
• D. $x + 2 y + 1$

Answer: Option A

Explanation:

• A. $x+y-2$
• B. $x+y+2$
• C. $x-y-2$
• D. $x-2y+1$

Answer: Option A

Explanation:

• A. $x+y+1$
• B. $x+y-1$
• C. $x-y-1$
• D. $x-2y+1$

Answer: Option B

Explanation:

• A. $x^2 y^2\left(x+y\right)$
• B. $xy\left(x^2+y^2\right)$
• C. $x^{2}y{\left(x+y\right)}^2$
• D. $x{y}^2\left(x^2+y\right)$

Answer: Option C

Explanation:

• A. $-2$
• B. $2$
• C. $1$
• D. $-1$

Answer: Option D

Explanation:

• A. $x^2$
• B. $x$
• C. $-x$
• D. $\pm x$

Answer: Option D

Explanation:

• A. $x^9$
• B. $x^{18}$
• C. $x^{27}$
• D. $x^{24}$

Answer: Option A

Explanation:

• A. (x - y - 1) (x-y + 1)
• B. (x - y + 1) (x+y -1)
• C. (x + y +1) (x-y - 1)
• D. (x - y) (x + y +1)

Answer: Option B

Explanation:

• A. $\left(x-y-1\right)\left(x-y+1\right)$
• B. $\left(x-y+1\right)\left(x+y-1\right)$
• C. $\left(x+y+1\right)\left(x-y-1\right)$
• D. $\left(x-y\right)\left(x+y+1\right)$

Answer: Option B

Explanation:

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

Answer: Option B

Explanation:

• A. x+y
• B. x -y
• D. 1

Answer: Option D

Explanation: