Write each rational expression in lowest terms. 8m² + 6m - 9 / 16m² - 9

Factor each polynomial by grouping. See Example 2. 10ab-6b+35a-21

If the expression is in exponential form, write it in radical form and evaluate if possible. If it is in radical form, write it in exponential form. Assume all variables represent positive real numbers. (5r + 3t)^4/7

Insert ∈ or ∉ in each blank to make the resulting statement true. 13 _____ {3, 5, 12, 14}

Find each product. (5m-6)(3m+4)

Multiply or divide as indicated. Write answers in lowest terms as needed. (1/8)∙(10/7)

Simplify each expression. Assume all variables represent nonzero real numbers. (p⁴/q)²

Find each product. $x^2(3x-2)(5x+1)$

Find each sum or difference. 13 + (-4)

If the expression is in exponential form, write it in radical form and evaluate if possible. If it is in radical form, write it in exponential form. Assume all variables represent positive real numbers. ⁵√ k²

Insert ∈ or ∉ in each blank to make the resulting statement true. 0 _____ {0, 2, 3, 4}

Write each rational expression in lowest terms. x³ + 64 / x + 4

Multiply or divide as indicated. Write answers in lowest terms as needed. (21/8)∙(4/7)

Insert ∈ or ∉ in each blank to make the resulting statement true. 0 _____ {0, 5, 6, 7, 8, 10}

Factor each polynomial by grouping. See Example 2. $4x^6+36-x^{6}y-9y$

Simplify each expression. Assume all variables represent nonzero real numbers. (-5n⁴/r²)³

Find each product. $4x^2(3x^3+2x^2-5x+1)$

Find each sum or difference. -7/3 + 3/4

Simplify each expression. Assume all variables represent nonzero real numbers. -(x³y²/z)⁰

If the expression is in exponential form, write it in radical form and evaluate if possible. If it is in radical form, write it in exponential form. Assume all variables represent positive real numbers. $-3\sqrt{5p^3}$

Multiply or divide, as indicated. 15p³/9p² * 12p/10p³

Simplify each expression. Assume all variables represent nonzero real numbers. -(p²q³/r³)⁰

Find each product. $2b^3(b^2-4b+3)$

If the expression is in exponential form, write it in radical form and evaluate if possible. If it is in radical form, write it in exponential form. Assume all variables represent positive real numbers. $-m \sqrt{2y^5}$

Factor each polynomial by grouping. See Example 2. $20z^2-8x+5p{z}^2-2px$

Find each root. √12²

Insert ∈ or ∉ in each blank to make the resulting statement true. {0} _____ {0, 1, 2, 5}

Match each expression in Column I with its equivalent expression in Column II. Choices may be used once, more than once, or not at all.

Find each product. (2z-1)(-z²+3z-4)