• A. $-\frac{3}{2}<x<-1$
• B. $-\frac{3}{2}<x<1$
• C. $-\frac{3}{2}\le x\le 1$
• D. $-\frac{3}{2}<x\le 1$

Answer: Option A

Explanation:

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

Answer: Option A

Explanation:

• A. (x+6)(x-5)
• B. (x-5)(x-6)
• C. (x+3)(2x-5)
• D. (2x+5)(x-3)

Answer: Option D

Explanation:

• A. (2x-3)(x+1)
• B. (2x-3)(x-1)
• C. (2x+3)(x+1)
• D. (2x+3)(x-1)

Answer: Option A

Explanation:

• A. (2x-3)(x+1)
• B. (2x-3)(x-1)
• C. (2x+3)(x+1)
• D. (2x+3)(x-1)

Answer: Option A

Explanation:

• A. -5
• C. 2
• D. 4

Answer: Option B

Explanation:

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

Answer: Option B

Explanation:

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

Answer: Option B

Explanation:

• A. ${\left(x-1\right)}^2\left(2x^2-x+2\right)$
• B. $\left(x-1\right)\left(2x^2-x+2\right)$
• C. $\left(x+1\right)\left(2x^2-x+2\right)$
• D. ${\left(x+1\right)}^3\left(2x^2-x+2\right)$

Answer: Option A

Explanation:

• A. $\left(2y^2+6y+2\right)\left(y^2-3y+1\right)$
• B. $\left(2y^2-7y+1\right)\left(2y^2+7y+1\right)$
• C. $\left(2y^2+3y+1\right)\left(y^2-3y+1\right)$
• D. $2\left(y^2+3y+1\right)\left(y^2-3y+1\right)$

Answer: Option C

Explanation:

• A. $7-x$
• B. $5-x$
• C. $5+x$
• D. $12-x$

Answer: Option B

Explanation:

• A. $x=1,y=-1$
• B. $x=1,y=1$
• C. $x=-1,y=-1$
• D. $x=-1,y=1$

Answer: Option D

Explanation:

• A. $1$
• B. $2^n-1$
• C. $2^n+1$
• D. $3^{n-1}$

Answer: Option C

Explanation:

• A. 12
• B. 13
• C. 14
• D. 15

Answer: Option D

Explanation:

• A. 3
• B. 2
• C. 1 : 2
• D. -1

Answer: Option D

Explanation: