(3/2m+2/3n)(3/2m-2/3n) Using Identity

less than a minute read Jun 16, 2024

Simplifying Expressions Using the Difference of Squares Identity

We can use the difference of squares identity to simplify the expression:

(3/2m + 2/3n)(3/2m - 2/3n)

The difference of squares identity states:

(a + b)(a - b) = a² - b²

Let's identify our 'a' and 'b' in our given expression:

Now, we can apply the identity:

(3/2m + 2/3n)(3/2m - 2/3n) = (3/2m)² - (2/3n)²

Simplifying further:

(3/2m)² - (2/3n)² = 9/4m² - 4/9n²

Therefore, the simplified expression is 9/4m² - 4/9n².