(-2x+3y+2z)2 In The Expanded Form Is

less than a minute read Jun 16, 2024

Expanding (-2x + 3y + 2z)²

To expand the expression (-2x + 3y + 2z)², we can use the FOIL method for multiplying binomials, but adapted for trinomials. Here's how:

1. Understand the Square:

Remember that squaring a term means multiplying it by itself. So, (-2x + 3y + 2z)² is the same as:

(-2x + 3y + 2z) * (-2x + 3y + 2z)

2. Apply the Distributive Property:

We distribute each term in the first trinomial to each term in the second trinomial:

3. Combine Like Terms:

Now, we collect all the terms with the same variables and exponents:

4x² - 6xy - 4xz - 6xy + 9y² + 6yz - 4xz + 6yz + 4z²

This simplifies to:

4x² - 12xy + 9y² - 8xz + 12yz + 4z²

Therefore, the expanded form of (-2x + 3y + 2z)² is 4x² - 12xy + 9y² - 8xz + 12yz + 4z².