1 . 18x+y3,24x+y2

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

Answer: Option A

Explanation:

2 . x2-y2+2y-1

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

Answer: Option C

Explanation:

3 . 4x+y,x-y,12x2-y2

• A. $x-y$
• B. $x+y$
• C. $12\left(x^2-y^2\right)$
• D. $2$

Answer: Option D

Explanation:

4 . x2-y2,x2+xy+y2,x3-y3

• A. $\left(x^2-y^2\right)$
• B. $\left(x^{2}xy+y^2\right)$
• C. $x^3-y^3$
• D. $x+y$

Answer: Option A

Explanation:

5 . x2-y2

• 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:

6 . x+y,x-y,x2-y2

• A. $0$
• B. $1$
• C. $x^2-y^2$
• D. $x+y$

Answer: Option B

Explanation:

7 . x+y-1-x-y×2yx2-y2-1

• A. 1
• B. $\frac{-4y^2}{{\left(x^2-y^2\right)}^2}$
• C. 2
• D. -1

Answer: Option B

Explanation:

8 . 2x+2y+x2-y2x+y=?

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

Answer: Option C

Explanation:

9 . x2+y2/x2-y2

• A. -10/9
• B. 5/4
• C. -5/4
• D. -5/3

Answer: Option C

Explanation:

10 . x+y,x-y,x2-y2

• A. $0$
• B. $1$
• C. $x^2-y^2$
• D. $x+y$

Answer: Option B

Explanation:

11 . x2-y2,x2+xy+y2,x3-y3

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

Answer: Option A

Explanation:

12 . x2-y2

• A. 4
• B. 0
• C. 1
• D. $a^2$

Answer: Option C

Explanation:

13 . x2-y2,x3-y3,x4+x2y2+y4

• A. x+y
• B. x -y
• C. 0
• D. 1

Answer: Option D

Explanation:

14 . x2-y2+2y-1

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

Answer: Option B

Explanation:

15 . x2-y2+2x+1

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

Answer: Option D

Explanation:

16 . x2-y2=10

• A. 24.75
• B. 297
• C. 247.5
• D. 247

Answer: Option B

Explanation:

17 . x+y=10, x2-y2=10

• A. 24.75
• B. 297
• C. 247.5
• D. 247

Answer: Option B

Explanation:

18 . x2-y2+4y-4

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

Answer: Option A

Explanation:

19 . x2-y2,x3-y3,x4+x2y2+y4

• A. x + y
• B. x − y
• C. 0
• D. 1

Answer: Option D

Explanation:

20 . x+yx+x-yy-x2-y2xy=?

• A. $\frac{y}{x}$
• B. $\frac{2x}{y}$
• C. $\frac{x}{y}$
• D. $\frac{2y}{x}$

Answer: Option D

Explanation:

21 . x+y,x-y,x2-y2

• A. 0
• B. 1
• C. 2
• D. 3

Answer: Option B

Explanation:

22 . 4(x+y), 10(x-y), 12(x2-y2)

• A. x-y
• B. x+y
• C. 2
• D. $12(x^2-y^2)$

Answer: Option C

Explanation:

23 . x2-y2 +2y-1

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

Answer: Option C

Explanation:

24 . x2+y2/x2-y2

• A. -10/9
• B. 5/4
• C. -5/4
• D. -5/3

Answer: Option C

Explanation:

25 . x2-y2+2x+1

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

Answer: Option B

Explanation:

26 . x2-y2 , x+y2 , x3+y3

• A. $x-y$
• B. $x+y$
• C. $\left(x^2-y^2\right)\left(x^3+y^3\right)$
• D. $\left(x-y\right){\left(x+y\right)}^2\left(x^2-xy+y^2\right)$

Answer: Option B

Explanation: