Question
what is the first step in simplifying this difference
(2x^4 - 12x^2 + 5x - 3) - (7x^3 + 10x^2 - 3x + 20)
(2x^4 - 12x^2 + 5x - 3) - (7x^3 + 10x^2 - 3x + 20)
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Answered by
GPT-4o mini
The first step in simplifying the expression \((2x^4 - 12x^2 + 5x - 3) - (7x^3 + 10x^2 - 3x + 20)\) is to distribute the negative sign across the second polynomial. This involves subtracting each term in the second polynomial from the corresponding term in the first polynomial.
Here's how you do it:
1. Rewrite the expression:
\[
2x^4 - 12x^2 + 5x - 3 - (7x^3 + 10x^2 - 3x + 20)
\]
2. Distribute the negative sign:
\[
2x^4 - 12x^2 + 5x - 3 - 7x^3 - 10x^2 + 3x - 20
\]
Now the expression is fully prepared for combining like terms. The next step would be to combine the terms that have the same degree.
Here's how you do it:
1. Rewrite the expression:
\[
2x^4 - 12x^2 + 5x - 3 - (7x^3 + 10x^2 - 3x + 20)
\]
2. Distribute the negative sign:
\[
2x^4 - 12x^2 + 5x - 3 - 7x^3 - 10x^2 + 3x - 20
\]
Now the expression is fully prepared for combining like terms. The next step would be to combine the terms that have the same degree.
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