Perform each division. See Examples 9 and 10. (x²+11x+16)/(x+8)

Evaluate each expression. (-2/9 -1/4) - {-5/18 - (-1/2)}

Simplify each expression. Write answers without negative exponents. Assume all variables represent positive real numbers. (y^7/3)(y^-4/3)

Perform the indicated operations. Assume all variables represent positive real numbers. 8√(2x) - √(8x) + √(72x)

Add or subtract as indicated. 28.73 - 3.12

Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, M = {0, 2, 4, 6, 8}, N = {1, 3, 5, 7, 9, 11, 13}, Q = {0, 2, 4, 6, 8, 10, 12}, and R = {0, 1, 2, 3, 4}.Use these sets to find each of the following. Identify any disjoint sets. N ∪ ∅

Simplify each rational expression. Assume all variable expressions represent positive real numbers. (Hint: Use factoring and divide out any common factors as a first step.) [(x² +1)⁴(2x) - x²(4)(x²+1)³(2x)] / [(x²+1)⁸]

Factor by any method. See Examples 1–7. $(2y-1{)}^2-4(2y-1)+4$

Add or subtract as indicated. 46.88 - 13.45

Simplify each rational expression. Assume all variable expressions represent positive real numbers. (Hint: Use factoring and divide out any common factors as a first step.) [(y² +2)⁵(3y) - y³(6)(y²+2)⁴(3y)] / [(y²+2)⁷]

Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, M = {0, 2, 4, 6, 8}, N = {1, 3, 5, 7, 9, 11, 13}, Q = {0, 2, 4, 6, 8, 10, 12}, and R = {0, 1, 2, 3, 4}.Use these sets to find each of the following. Identify any disjoint sets. (M ∩ N) ∪ R

Simplify each expression. Write answers without negative exponents. Assume all variables represent positive real numbers. (k^1/3)/(k^2/3)(k^-1)

Evaluate each expression. $\frac{-8 + (-4)(-6) \div 12}{4 - (-3)}$

Factor by any method. See Examples 1–7. x²+xy-5x-5y

Perform each division. See Examples 9 and 10. (4x³+9x²-10x-6)/(4x+1)

Perform the indicated operations. Assume all variables represent positive real numbers. $3\sqrt{72m^2} - 5\sqrt{32m^2} - 3\sqrt{18m^2}$

Simplify each rational expression. Assume all variable expressions represent positive real numbers. (Hint: Use factoring and divide out any common factors as a first step.) [4(x²- 1)³ + 8x(x²-1)⁴] / [16(x²-1)³]

Evaluate each expression. $\frac{15 \div 5 \cdot 4 \div 6 - 8}{-6 - (-5) - 8 \div 2}$

Simplify each expression. Write answers without negative exponents. Assume all variables represent positive real numbers. (z^3/4)/(z^5/4)(z^-2)

Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, M = {0, 2, 4, 6, 8}, N = {1, 3, 5, 7, 9, 11, 13}, Q = {0, 2, 4, 6, 8, 10, 12}, and R = {0, 1, 2, 3, 4}.Use these sets to find each of the following. Identify any disjoint sets. (N ∪ R) ∩ M

Add or subtract as indicated. 345.1 - 56.31

Simplify each rational expression. Assume all variable expressions represent positive real numbers. (Hint: Use factoring and divide out any common factors as a first step.) [10(4x²-9)² - 25x(4x²-9)³] / [15(4x²-9)⁶]

Factor by any method. See Examples 1–7. p⁴(m-2n)+q(m-2n)

Perform each division. See Examples 9 and 10. (4x³-3x²+1)/(x-2)

Add or subtract as indicated. 3.87 + 15 + 2.9

Evaluate each expression for p=-4, q=8, and r=-10. -p² -7q +r²

Perform the indicated operations. Assume all variables represent positive real numbers. $2\sqrt[3]{3} + 4\sqrt[3]{24} - \sqrt[3]{81}$

Simplify each expression. Write answers without negative exponents. Assume all variables represent positive real numbers. (x^1/4y^2/5)²⁰/x²

Simplify each rational expression. Assume all variable expressions represent positive real numbers. (Hint: Use factoring and divide out any common factors as a first step.) [2(2x-3)^1/3 - (x-1)(2x-3)^-2/3] / [(2x-2)^-2/3]

Perform each division. See Examples 9 and 10.

$\frac{(3x^3-2x+5)}{(x-3)}$