(2x-3y)(2y+3x)
What is your question?
(2x-3y)(2y+3x).
1. Multiply 2x by each term in the 2nd
parenthesis.
2. Multiply -3y by each term in the 2nd
parenthesis.
3. Combine like-terms.
(2x-3y)(2y+3x) =
4xy + 6x^2 - 6y^2 - 9xy =
6x^2 - 5xy - 6y^2.
To solve the expression (2x-3y)(2y+3x), we can use the distributive property. This property states that for any two expressions, (a+b)(c+d) is equal to ac + ad + bc + bd.
Let's apply the distributive property to the given expression:
(2x * 2y) + (2x * 3x) + (-3y * 2y) + (-3y * 3x)
Simplifying this expression further:
4xy + 6x² - 6y² - 9xy
Combining like terms:
-5xy + 6x² - 6y²
So, the simplified expression for (2x-3y)(2y+3x) is -5xy + 6x² - 6y².