Question
Use distributive property to font the product of x(3x + 5x^2 - 7 - 6x)
Answers
GPT-4o mini
To find the product of \( x(3x + 5x^2 - 7 - 6x) \) using the distributive property, we will distribute \( x \) to each term inside the parentheses.
1. **Multiply \( x \) by the first term**:
\( x \cdot 3x = 3x^2 \)
2. **Multiply \( x \) by the second term**:
\( x \cdot 5x^2 = 5x^3 \)
3. **Multiply \( x \) by the third term**:
\( x \cdot (-7) = -7x \)
4. **Multiply \( x \) by the fourth term**:
\( x \cdot (-6x) = -6x^2 \)
Now, we can combine all these results:
\[
5x^3 + 3x^2 - 7x - 6x^2
\]
Next, we can combine like terms (\(3x^2\) and \(-6x^2\)):
\[
5x^3 + (3x^2 - 6x^2) - 7x = 5x^3 - 3x^2 - 7x
\]
The final result is:
\[
5x^3 - 3x^2 - 7x
\]
1. **Multiply \( x \) by the first term**:
\( x \cdot 3x = 3x^2 \)
2. **Multiply \( x \) by the second term**:
\( x \cdot 5x^2 = 5x^3 \)
3. **Multiply \( x \) by the third term**:
\( x \cdot (-7) = -7x \)
4. **Multiply \( x \) by the fourth term**:
\( x \cdot (-6x) = -6x^2 \)
Now, we can combine all these results:
\[
5x^3 + 3x^2 - 7x - 6x^2
\]
Next, we can combine like terms (\(3x^2\) and \(-6x^2\)):
\[
5x^3 + (3x^2 - 6x^2) - 7x = 5x^3 - 3x^2 - 7x
\]
The final result is:
\[
5x^3 - 3x^2 - 7x
\]