Question

Findan expression equivalent to (3x²+2y²-3x)-(2x²+y²-2x) using the fewest number of possible terms.

Answer 1

To find an expression equivalent to (3x²+2y²-3x)-(2x²+y²-2x), distribute the negative sign and combine like terms to simplify the expression x² + y² - x.

Step-by-step explanation:

To find an expression equivalent to (3x²+2y²-3x)-(2x²+y²-2x) using the fewest number of possible terms, we can simplify by combining like terms. Start by distributing the negative sign to the terms inside the parentheses:

3x² + 2y² - 3x - 2x² - y² + 2x

Now, combine like terms:

(3x² - 2x²) + (2y² - y²) + (-3x + 2x)

Simplifying further, we have:

x² + y² - x