(3%2F2m-2%2F3n)-using-identity.jpeg "(3/2m+2/3n)(3/2m-2/3n) Using Identity")
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:
- a = 3/2m
- b = 2/3n
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.