5k2(-6k2 - 2k +6)
1. 2k2 + k - 3
2. 2k2 + k + 2
3. 2k2 - k - 3
4. 2k2 - k + 2
3. 2k2 - k - 3
5k2(-6k2 - 2k +6)
1. -30k3 + 3k2 + 30k
2. 30k4 - 10k3 + 11k2
3. k4 + 3k3 + 11k2
4. -30k4 - 10k3 + 30k2
explain
To simplify the expression 5k2(-6k2 - 2k + 6), we need to apply the distributive property of multiplication over addition. This means we need to multiply 5k2 with each term inside the parenthesis:
5k2(-6k2 - 2k + 6) = -30k4 - 10k3 + 30k2
The simplified expression is option 4, which matches the result we obtained by applying the distributive property and combining like terms.
To simplify the expression 5k^2(-6k^2 - 2k + 6), you need to distribute the 5k^2 to each term inside the parentheses.
Multiplying each term inside the parentheses by 5k^2 gives:
-6k^2 * 5k^2 = -30k^4
-2k * 5k^2 = -10k^3
6 * 5k^2 = 30k^2
Combining these terms, the simplified expression is:
-30k^4 - 10k^3 + 30k^2
Therefore, the answer is not any of the given options.