Perform the indicated operations. $2(3r^2+4r+2)-3(-r^2+4r-5)$

Insert ⊆ or s in each blank to make the resulting statement true. {5, 6, 7, 8} ____ {1, 2, 3, 4, 5, 6, 7}

Add or subtract as indicated. Write answers in lowest terms as needed. 13/15 - 3/15

Use the rules for radicals to perform the indicated operations. Assume all variable expressions represent positive real numbers. ∜∛2

Insert ⊆ or ⊈ in each blank to make the resulting statement true. ∅ ____ {1, 4, 6, 8}

Simplify each expression. Write answers without negative exponents. Assume all variables represent nonzero real numbers. (3pq)q²/6p²q⁴

Find each product or quotient where possible. -24/-4

Add or subtract, as indicated. 4/x + 1 + 1/x² - x + 1 - 12/x³ + 1

Use the rules for radicals to perform the indicated operations. Assume all variable expressions represent positive real numbers. ⁵√∛9

Insert ⊆ or ⊈ in each blank to make the resulting statement true. ∅ ____ ∅

Perform the indicated operations. m(5m-2) + 9(5-m)

Add or subtract, as indicated. 5/x + 2 + 2/x² - 2x + 4 - 60/x³ + 8

Find each product or quotient where possible. 100/-25

Factor each polynomial. See Examples 5 and 6. $x^2-8x+16-y^2$

Add or subtract as indicated. Write answers in lowest terms as needed. 7/12 - 1/3

Simplify each expression. Write answers without negative exponents. Assume all variables represent nonzero real numbers. 4a⁵(a^-1)³/(a^-2)^-2

Determine whether each statement is true or false. {5, 7, 9, 19} ∩ {7, 9, 11, 15} = {7, 9}

Perform the indicated operations. See Examples 2–6.

$-z^3(9-z)+4z(2+3z)$

Simplify each expression. Write answers without negative exponents. Assume all variables represent nonzero real numbers. (5x)^-2(5x³)^-3/(5^-2x^-3)^-3

Find each product or quotient where possible. 0/-8

Find each product. Assume all variables represent positive real numbers. $y^{5/8} \left( y^{3/8} - 10y^{11/8} \right)$

Add or subtract as indicated. Write answers in lowest terms as needed. 7/12-1/9

Factor each polynomial. See Examples 5 and 6. $y^2-x^2+12x-36$

Simplify each complex fraction. [1 + (1/x)] / (1-1/x)

Simplify each radical. Assume all variables represent positive real numbers. √192

Factor each polynomial. See Examples 5 and 6. $9m^2-n^2-2n-1$

Determine whether each statement is true or false. [6, 12, 14, 16} ∪ {6, 14, 19} = {6, 14}

Simplify each complex fraction. (2 - 2/y) / (2 + 2/y)

Evaluate each expression. 169^1/2

Find each product. Assume all variables represent positive real numbers. $-4k \left( k^{7/3} - 6k^{1/3} \right)$