Math Problem Statement

What are the expressions provided in the list? Can you provide the steps for solving or factoring any of these expressions?

Solution

Here are the expressions from the image for easy reference:

  1. 4y217y+154y^2 - 17y + 15

  2. 25u220u+425u^2 - 20u + 4

  3. 4r2+16rs10s24r^2 + 16rs - 10s^2

  4. 4x2+3xy15y24x^2 + 3xy - 15y^2

  5. 81uv3+3u481uv^3 + 3u^4

  6. x664y6x^6 - 64y^6

  7. z410z2+9z^4 - 10z^2 + 9

Please let me know if you would like to solve or factor any specific expression(s) from the list.

Would you like detailed steps, or have any specific questions?

Related Questions

  1. How do we factor trinomials like 4y217y+154y^2 - 17y + 15?
  2. What is the process for simplifying expressions with multiple variables, such as 4x2+3xy15y24x^2 + 3xy - 15y^2?
  3. How can we factor higher-degree polynomials, such as x664y6x^6 - 64y^6?
  4. What are the techniques for working with expressions involving powers, like 81uv3+3u481uv^3 + 3u^4?
  5. Can we use the difference of squares technique to factor expressions like z410z2+9z^4 - 10z^2 + 9?

Tip

When factoring polynomials, check for common factors first before using techniques like grouping, difference of squares, or trinomial factoring.

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Math Problem Analysis

Mathematical Concepts

Algebra
Polynomial Factoring
Quadratic Equations
Difference of Squares

Formulas

Quadratic equation formula: ax^2 + bx + c = 0
Difference of squares formula: a^2 - b^2 = (a + b)(a - b)

Theorems

Quadratic formula
Difference of squares

Suitable Grade Level

Grades 9-12