To find the difference between the two polynomial expressions, we will subtract the second expression from the first:
\[ (1.2x^3 - 0.8x^2 + 0.6x) - (2.5x + 4.7) \]
We'll distribute the negative sign across the second expression:
\[ 1.2x^3 - 0.8x^2 + 0.6x - 2.5x - 4.7 \]
Now, we can combine like terms:
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Start with the \(x^3\) term:
- There is only one \(x^3\) term: \(1.2x^3\)
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Next, combine the \(x^2\) terms:
- There is only one \(x^2\) term: \(-0.8x^2\)
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Now, combine the \(x\) terms:
- \(0.6x - 2.5x = (0.6 - 2.5)x = -1.9x\)
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Finally, combine the constant terms:
- There is only one constant term: \(-4.7\)
So, after combining all the terms, we get:
\[ 1.2x^3 - 0.8x^2 - 1.9x - 4.7 \]
This is the final expression for the difference between the two polynomial expressions.