how do I solve
(4x^2-9y^2)/2x+3y)
It is not necessary to post the same question twice.
y=-2x+1
To solve the expression (4x^2 - 9y^2) / (2x + 3y), we can simplify it using the process of factorization and canceling out common factors. Here's a step-by-step explanation of how to solve it:
Step 1: Factorize the numerator and the denominator:
- Numerator: (4x^2 - 9y^2) can be factored using the difference of squares formula as (2x + 3y)(2x - 3y).
- Denominator: (2x + 3y) is already factored.
Step 2: Cancel out the common factors between the numerator and denominator:
- Since we have a (2x + 3y) term in both the numerator and denominator, we can cancel it out.
- After canceling, the expression simplifies to (2x - 3y).
Therefore, the simplified expression is (2x - 3y).