To multiply the given expressions, let's first clarify them:
- The first expression seems to be \( x - 25 \).
- The second expression appears to be \( x^2 - 9 \).
- The third expression is \( x - 9x + 18 \), which simplifies to \( -8x + 18 \).
- The fourth expression is \( x - (x - 30) \), which simplifies to \( 30 \).
Now, let’s multiply the expressions:
-
First Pair: \( (x - 25)(x^2 - 9) \)
- This is a difference of squares for \( x^2 - 9 \), which factors to \( (x - 3)(x + 3) \).
- So the multiplication can be written as: \[ (x - 25)(x - 3)(x + 3) \]
-
Second Pair: \( (-8x + 18)(30) \)
- This can be multiplied directly: \[ -8x \cdot 30 + 18 \cdot 30 = -240x + 540 \]
Now we can rewrite the combined multiplication as:
\[ (x - 25)(x^2 - 9) \cdot (-8x + 18) \cdot 30 \]
However, to provide the choice format that you listed (including the simplified versions), we can combine what we've calculated.
Given the choices:
Choice A:
- \( x - 9x + 18 \) simplifies to \( -8x + 18 \)
- \( x^2 - (x - 30) \) simplifies to \( x^2 - x + 30 \)
Choice B:
- \( x^2 - 25 \) is already factored.
- \( x^2 - 9 \) is also already factored.
- The product of these is \( (x - 5)(x + 5)(x - 3)(x + 3) \).
So the correct simplifications would be:
For \( OA \) be filled with:
- \( -8x + 18, , 30 \)
For \( OB \) choices:
- \( x^2 - 25, , x^2 - 9 \)
If you merely need the multiplications and simplifications, your selections would lead to:
- Choice A (simplified terms).
- Choice B (expressed in its polynomial factor forms).
Please clarify further if you need more in regards to operations or simplifications!