Subtracting `3xy +5yz - 7zx` from `5xy - 2zx + 10 xyz`, we get

Options

A. `2xy - 5yz+ 5zx + 10xyz`
B. `2xy + 5yz - 5zx + 10xyz`
C. `2xy + 5yz + 5zx - 10xyz`
D. `2xy+5yz+5zx-10xyz`

Answer

To solve the problem of subtracting \(3xy + 5yz - 7zx\) from \(5xy - 2zx + 10xyz\), we will follow these steps:

### Step 1: Write the expression for subtraction
We need to subtract the expression \(3xy + 5yz - 7zx\) from \(5xy - 2zx + 10xyz\). This can be expressed as:
\[ (5xy - 2zx + 10xyz) - (3xy + 5yz - 7zx) \]

### Step 2: Distribute the negative sign
When we subtract the second expression, we need to distribute the negative sign across all terms in the parentheses:
\[ 5xy - 2zx + 10xyz - 3xy - 5yz + 7zx \]

### Step 3: Combine like terms
Now, we will combine the like terms:
- For \(xy\) terms: \(5xy - 3xy = 2xy\)
- For \(yz\) terms: There is only \(-5yz\)
- For \(zx\) terms: \(-2zx + 7zx = 5zx\)
- The \(xyz\) term remains the same: \(10xyz\)

Putting it all together, we have:
\[ 2xy - 5yz + 5zx + 10xyz \]

### Final Answer
Thus, the result of subtracting \(3xy + 5yz - 7zx\) from \(5xy - 2zx + 10xyz\) is:
\[ \boxed{2xy - 5yz + 5zx + 10xyz} \]