2-in-the-expanded-form-is.jpeg "(-2x+5y-3z)2 In The Expanded Form Is")
Expanding the Square of a Trinomial: (-2x + 5y - 3z)²
In mathematics, expanding a squared expression means multiplying the expression by itself. In this case, we want to expand (-2x + 5y - 3z)².
To do this, we can use the distributive property or the FOIL method, but since we have a trinomial, it might be easier to visualize using a table.
Here's how to expand the expression:
-
Set up a table: Create a 3x3 table, with the terms of the trinomial along the top and left side:
-2x 5y -3z -2x 5y -3z -
Multiply terms: Multiply each term in the top row with each term in the left column and fill the corresponding cell in the table.
-2x 5y -3z -2x 4x² -10xy 6xz 5y -10xy 25y² -15yz -3z 6xz -15yz 9z² -
Combine like terms: Add up all the terms in the table, combining those with the same variables.
Therefore, the expanded form of (-2x + 5y - 3z)² is:
4x² - 20xy + 10xz + 25y² - 30yz + 9z²