%5E2-simplify.jpeg "(3x-5y)^2 Simplify")
Simplifying (3x - 5y)^2
The expression (3x - 5y)^2 represents the square of the binomial (3x - 5y). To simplify it, we can apply the concept of squaring a binomial, which states:
(a - b)^2 = a^2 - 2ab + b^2
Following this pattern, we can expand and simplify the given expression:
1. Identify 'a' and 'b':
In our case, a = 3x and b = 5y.
2. Substitute the values into the formula:
(3x - 5y)^2 = (3x)^2 - 2(3x)(5y) + (5y)^2
3. Simplify the terms:
- (3x)^2 = 9x^2
- 2(3x)(5y) = 30xy
- (5y)^2 = 25y^2
4. Combine the simplified terms:
(3x - 5y)^2 = 9x^2 - 30xy + 25y^2
Therefore, the simplified form of (3x - 5y)^2 is 9x^2 - 30xy + 25y^2.