97.8k views
3 votes
Simplify (2x-3y)^2-(3x+4y)(2x-3y).
Pls show working

1 Answer

3 votes

1. Find your greatest common factor (GCF). 2x - 3y is your greatest common factor.
2. Factor out your GCF. (2x - 3y)((2x - 3y)²/2x - 3y) + -(3x + 4y)(2x - 3y)/2x - 3y) Don't fret about the size! This is the fastest way to simplify.
3. Simplify each term. (2x - 3y)(2x - 3y - 3x - 4y)
4. Combine like terms. (2x - 3y)((2x - 3x) + (-3y - 4y))
5. Simplify (2x - 3x) + (-3y - 4y). -x - 7y.
6. Simplify final equation. (2x - 3y)(-x - 7y)

User KrunalParmar
by
7.4k points