What is the simplified difference between the expressions 7x + 5x^4 + 5 and 7x^4 + 5 + 9x?

To simplify the difference between the two expressions, we first need to write them down clearly:

Expression 1: 7x + 5x4 + 5

Expression 2: 7x4 + 5 + 9x

Now, we want to find the difference:

Difference: (7x + 5x4 + 5) – (7x4 + 5 + 9x)

Next, we can distribute the negative sign across the second expression:

= 7x + 5x4 + 5 – 7x4 – 5 – 9x

Now, we can combine like terms:

1. Combine the x terms: 7x – 9x = -2x

2. Combine the constant terms: 5 – 5 = 0

3. Combine the x4 terms: 5x4 – 7x4 = -2x4

Putting it all together, we have:

Simplified Difference: -2x4 – 2x

So, the simplified difference of the two expressions is: -2x4 – 2x.

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