(2x - 10) - (3x2 + 10x) + (2x3 + 3x2 )

Jasonbradley

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Jun 16, 2024

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Simplifying the Expression (2x - 10) - (3x2 + 10x) + (2x3 + 3x2 )

This expression involves combining like terms, which means combining terms that have the same variable and exponent. Let's break it down step by step:

1. Distribute the Negative Sign

• The minus sign in front of the second set of parentheses means we multiply each term inside by -1:

  (2x - 10) + (-1 * 3x2) + (-1 * 10x) + (2x3 + 3x2 )

• This simplifies to:

  (2x - 10) - 3x2 - 10x + 2x3 + 3x2

2. Combine Like Terms

• x3 terms: We have 2x3.
• x2 terms: We have -3x2 + 3x2, which cancels out to 0.
• x terms: We have 2x - 10x, which simplifies to -8x.
• Constant terms: We have -10.

3. The Simplified Expression

Putting all the simplified terms together, we get:

2x3 - 8x - 10

This is the simplified form of the given expression.