Subtract :
`-2x^(2)y + 3xy^(2)` from `8x^(2)y`

Answer

To solve the problem of subtracting \(-2x^2y + 3xy^2\) from \(8x^2y\), we will follow these steps:

### Step 1: Write down the expression
We start with the expression we need to subtract:
\[ 8x^2y - (-2x^2y + 3xy^2) \]

### Step 2: Distribute the negative sign
When we subtract the entire expression \(-2x^2y + 3xy^2\), we need to distribute the negative sign:
\[ 8x^2y - (-2x^2y) - (3xy^2) \]
This simplifies to:
\[ 8x^2y + 2x^2y - 3xy^2 \]

### Step 3: Combine like terms
Now, we combine the like terms. The like terms here are \(8x^2y\) and \(2x^2y\):
\[ (8x^2y + 2x^2y) - 3xy^2 \]
This gives us:
\[ 10x^2y - 3xy^2 \]

### Final Answer
Thus, the result of subtracting \(-2x^2y + 3xy^2\) from \(8x^2y\) is:
\[ 10x^2y - 3xy^2 \]

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