1

Simplify the expression \$(3x + 5y)(2x - y) - 2(4x^2 - 3xy + 5y^2)\$.

A) \$ -2x^2 + 13xy - 15y^2 \$

B) \$ 2x^2 - 13xy - 15y^2 \$

C) \$ -2x^2 + 13xy + 15y^2 \$

D) \$ -5x^2 + 13xy - 15y^2 \$

2

Simplify the expression \$(4x^2 + 12xy + 9y^2)/((2x + 3y)^2)\$.

A) 2

B) 2x + 3y

C) 2x - 3y

D) 1

3

Simplify the expression \$(3^(2x) \times 2^(3x+1))/(9 \times 6^(2x-1))\$.

A) \$ (9 \times 2^x)/3\$

B) \$(2^(x+2))/3\$

C) \$ (2^(3x - 1))/3\$

D) \$ (2^(3 + x))/3 \$

4

Simplify the expression \$(x + y)^3 - (x - y)^3\$.

A) \$ 2y(3x^2 - 2y^2)\$

B) \$ 5y(3x^2 + y^2)\$

C) \$ (6x^2 y + 2y^3)\$

D) \$ 2y(2x^2 + 3y^2)\$

5

Simplify the expression \$(a^2 + b^2)^2 - 2ab(a^2 + b^2) + (ab)^2\$.

A) \$ a^4 + 2a^3 b - 3a^2 b^3 + 2a^2 b^2 + b^2 \$

B) \$ a^4 - 3a^2 b - 3a^2 b^3 - 2ab^3 + b^4 \$

C) \$ a^3 - 2a^3 b + 3a^2 b^2 - 2ab^3 + 2b^3 \$

D) \$ a^4 - 2a^3 b + 3a^2 b^2 - 2ab^3 + b^4\$

6

Simplify the expression: \$(x^3 + x^2 - 2x - 2)/(x^2 - 1)\$.

A) \$(x^2 - 9)/(x - 1)\$

B) \$(x^2 - 2)/(x + 1)\$

C) \$(x^2 - 2)/(x - 1)\$

D) \$(x^2 + 2)/(x + 1)\$

7

Simplify the expression \$(3a + b)^2 - (2a - 3b)^2\$.

A) \$5a^2 + 18ab - 8b^2\$

B) \$5a^2 - 18ab - 8b^2\$

C) \$5a^2 + 18ab + 8b^2\$

D) \$5a^2 - 18ab + 8b^2\$

8

Simplify the expression \$(x^2 + y^2) - 2(x^2 - xy + y^2) + (x^2 - 3xy + y^2)\$.

A) \$x^2 - xy\$

B) -xy

C) -5xy

D) \$x^2 + xy\$

9

Simplify the expression: \$(\sqrt(x) - 2)/(\sqrt(x) + 2) \times (\sqrt(x) + 3)/(sqrt(x) - 3)\$.

A) \$(x + \sqrt (x - 4))/(x - sqrt (x - 4))\$

B) \$ (x + 2\sqrtx - 9)/(x - 2\sqrtx - 3)\$

C) \$ (x + \sqrtx - 6)/(x - \sqrtx - 6)\$

D) \$ (x + \sqrtx - 4)/(x - \sqrtx + 4)\$

10

Simplify the expression \$((3x^6 y^2)(3xy^4)^2)/((8x^4 y^3)^2)\$.

A) \$(27y^4)/(64)\$

B) \$(27)/(64y^4)\$

C) \$(-27)/(64)\$

D) \$(27y^4)/(24)\$