Simplify kv+12k

Question

4
v+4kv−7k
4
v−5kv by combining like terms.

5k
4
v−kv

5k
4
v

5k
4
v−9kv

5k
4
v+9k
2
v
2

Answer 1

To simplify the expression \( kv + 12k + 4v + 4kv - 7k + 4v - 5kv \), we can first combine like terms.

1. Identify terms involving \( k \): \[ 12k - 7k = 5k \]

2. Identify terms involving \( v \): \[ kv + 4v + 4kv - 5kv = (1 + 4 + 4 - 5)kv = 4kv \]

Now, let's combine all like terms:

\[ 5k + 4kv \]

Next, we need to write this expression in a standard format.

The simplified form of the expression is: \[ 4kv + 5k \]

However, among the options provided, none match directly with this. Let's review the choices:

1. \( 5k^4v - kv \) (Not matching)
2. \( 5k^4v \) (Not matching)
3. \( 5k^4v - 9kv \) (Not matching)
4. \( 5k^4v + 9k^2v^2 \) (Not matching)

None of these options appear to be the direct outcome of simplifying the original expression you provided.

If you're looking to further address or clarify the simplification, or if there’s additional context (coefficients or missing terms), please provide that for more accurate assistance!

Answer 2

Simplify kv+12k
4
v+4kv−7k
4
v−5kv by combining like terms.

Answer 3

To simplify the expression \( kv + 12k + 4k^4v + 4kv - 7k^4v - 5kv \), we will combine like terms carefully.

1. Identify the like terms involving \( kv \):
   \[ kv + 4kv - 5kv = (1 + 4 - 5)kv = 0kv = 0 \]

2. Identify the like terms involving \( k^4v \):
   \[ 12k + 4k^4v - 7k^4v = 12k + (4 - 7)k^4v = 12k - 3k^4v \]

Now, we can combine everything we've found:

Full Simplification

The terms simplify to: \[ 12k - 3k^4v \]

Thus, the final simplified expression is: \[ 12k - 3k^4v \]

If this needs any further adjustments or specific formatting, let me know!