Questions: -3x^2 + 2xy + xy

Transcript text: $-3 x^{2}+2 x y+x y$

Solution

Solution Steps

The given expression is a polynomial in terms of variables $x$ and $y$. To simplify this expression, we can combine like terms. The terms $2xy$ and $xy$ are like terms and can be combined.

Step 1: Identify Like Terms

The given expression is $-3x^2 + 2xy + xy$. We identify the like terms, which are $2xy$ and $xy$.

Step 2: Combine Like Terms

Combine the like terms $2xy$ and $xy$ to get $3xy$. The expression now becomes: \[ -3x^2 + 3xy \]

Step 3: Factor the Expression

Factor the expression $-3x^2 + 3xy$ by taking out the common factor, which is $3x$: \[ 3x(-x + y) \]

Final Answer

The simplified and factored form of the expression is: \[ \boxed{3x(-x + y)} \]

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