0. Review of Algebra

Factor: x² + 4x + 4 − 9y². (Section 5.6, Example 4)

In Exercises 75–94, factor using the formula for the sum or difference of two cubes. 8y³ + 1

In Exercises 65–92, factor completely, or state that the polynomial is prime. x^3+2x^2−4x−8

Factor each polynomial. See Examples 5 and 6. (b+3)^3-27

In Exercises 69–82, factor completely.12x²y – 46xy² + 14y³

In Exercises 69–82, factor completely.4x³y⁵ + 24x²y⁵ – 64xy⁵

Factor each polynomial. See Examples 5 and 6. 125-(4a-b)^3

In Exercises 65–92, factor completely, or state that the polynomial is prime. 20y^4−45y^2

In Exercises 83–92, factor by introducing an appropriate substitution.5x⁴ + 2x² − 3

Factor each polynomial. See Example 7. 9(a-4)^2+30(a-4)+25

In Exercises 65–92, factor completely, or state that the polynomial is prime. x^2−10x+25−36y^2

Factor each polynomial. See Example 7. 4(5x+7)^2+12(5x+7)+9

Factor each polynomial. See Example 7. (a+1)^3+27

Factor each polynomial. See Example 7. (x-4)^3+64

Factor each polynomial. See Example 7. (3x+4)^3-1