Math Problem Statement

25x² - 16y²

Solution

The expression 25x216y225x^2 - 16y^2 represents a difference of squares. This is a special algebraic form that can be factored using the identity for the difference of squares:

a2b2=(ab)(a+b)a^2 - b^2 = (a - b)(a + b)

In this expression, we can identify:

  • a2=25x2a^2 = 25x^2, so a=5xa = 5x
  • b2=16y2b^2 = 16y^2, so b=4yb = 4y

Using the difference of squares identity, the expression can be factored as:

[ 25

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Algebra
Difference of Squares

Formulas

Difference of squares formula: a^2 - b^2 = (a - b)(a + b)

Theorems

-

Suitable Grade Level

Grades 9-12