0. Review of College Algebra

CONCEPT PREVIEW Work each problem.Match each polynomial in Column I with its factored form in Column II. I IIa. x² + 10xy + 25y² A. (x + 5y) (x - 5y)b. x² - 10xy + 25y² B. (x + 5y)²c. x² - 25y² C. (x - 5y)²d. 25y² - x² D. (5y + x) (5y - x)

CONCEPT PREVIEW Work each problem.Match each polynomial in Column I with its factored form in Column II. I IIa. 8x³ - 27 A. (3 - 2x) (9 + 6x + 4x²)b. 8x³ + 27 B. (2x - 3) (4x² + 6x + 9)c. 27 - 8x³ C. (2x + 3) (4x² - 6x + 9)

CONCEPT PREVIEW Which of the following is the correct factorization of x⁴ - 1?A. (x² - 1) (x² + 1)B. (x² + 1) (x + 1) (x - 1)C. (x² - 1)²D. (x - 1)² (x + 1)²

Simplify each expression. See Example 1.(-4x⁵) (4x²)

Simplify each expression. See Example 1.n⁶ • n⁴ • n

Simplify each expression. See Example 1.9³ • 9⁵

Simplify each expression. See Example 1.(-3m⁴) (6m²) (-4m⁵)

Simplify each expression. See Example 1.(5x²y) (-3x³y⁴)

Simplify each expression. See Example 1.(½ mn) (8m²n²)

Simplify each expression. Assume all variables represent nonzero real numbers. See Examples 2 and 3.(2²)⁵

Simplify each expression. Assume all variables represent nonzero real numbers. See Examples 2 and 3.(-6x²)³

Simplify each expression. Assume all variables represent nonzero real numbers. See Examples 2 and 3.-(4m³n⁰)²

Simplify each expression. Assume all variables represent nonzero real numbers. See Examples 2 and 3. r⁸( —— )³ s²

Simplify each expression. Assume all variables represent nonzero real numbers. See Examples 2 and 3. -4m²( ——— )⁴ tp²

Simplify each expression. Assume all variables represent nonzero real numbers. See Examples 2 and 3. x³y⁵- ( ——— )⁰ z