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 \$

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

A) 2

B) 2x + 3y

C) 1

D) 2x - 3y

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

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

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

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

D) \$ (4 * 2^x)/ 3 \$

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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\$

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\$

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)\$

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

A) \$(27y^4)/8\$

B) \$ (9x^4)/4\$

C) \$(- 9x^4)/4\$

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