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

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 terms with different powers of 'x'. To simplify it, we need to follow the order of operations and combine like terms.

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

Step 2: Rearrange Terms

Let's rearrange the terms by grouping similar powers of 'x':

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

Step 3: Combine Like Terms

Now we can combine the coefficients of the terms with the same powers of 'x':

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

This simplifies to:

2x3 - 8x - 10

Final Result

Therefore, the simplified form of the expression (2x - 10) - (3x2 + 10x) + (2x3 + 3x2 ) is 2x3 - 8x - 10.