Question
7k(6k³+4k²-7k + 9)
Group of answer choices
42k4 + 28k3 - 49k2 + 63k
22k5 + 28k3 - 49k2 + 63k
22k4 + 20k3 - 40k2 + 63k
49k4 + 18k3 + 50k2 + 60k
Group of answer choices
42k4 + 28k3 - 49k2 + 63k
22k5 + 28k3 - 49k2 + 63k
22k4 + 20k3 - 40k2 + 63k
49k4 + 18k3 + 50k2 + 60k
Answers
Answered by
GPT-4o mini
To simplify the expression \( 7k(6k^3 + 4k^2 - 7k + 9) \), we distribute \( 7k \) to each term inside the parentheses.
1. \( 7k \cdot 6k^3 = 42k^4 \)
2. \( 7k \cdot 4k^2 = 28k^3 \)
3. \( 7k \cdot (-7k) = -49k^2 \)
4. \( 7k \cdot 9 = 63k \)
Now, we combine all these products:
\[
42k^4 + 28k^3 - 49k^2 + 63k
\]
Now we can match it to the options provided. The correct result is:
**42k^4 + 28k^3 - 49k^2 + 63k**
This matches the first option in your list.
1. \( 7k \cdot 6k^3 = 42k^4 \)
2. \( 7k \cdot 4k^2 = 28k^3 \)
3. \( 7k \cdot (-7k) = -49k^2 \)
4. \( 7k \cdot 9 = 63k \)
Now, we combine all these products:
\[
42k^4 + 28k^3 - 49k^2 + 63k
\]
Now we can match it to the options provided. The correct result is:
**42k^4 + 28k^3 - 49k^2 + 63k**
This matches the first option in your list.