(-x3+2x-4)-(x3+2x2-5x+3)=

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Jun 12, 2024

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Expanding and Simplifying Algebraic Expressions

In this article, we will explore the process of expanding and simplifying algebraic expressions, using the example of (-x^3 + 2x - 4) - (x^3 + 2x^2 - 5x + 3).

Step 1: Expand the Expression

To expand the expression, we need to follow the order of operations (PEMDAS):

1. Distribute the negative sign to the terms inside the second parentheses:

(-x^3 + 2x - 4) - (x^3 + 2x^2 - 5x + 3) = -x^3 + 2x - 4 - x^3 - 2x^2 + 5x - 3

Step 2: Combine Like Terms

Combine like terms:

-x^3 + 2x - 4 - x^3 - 2x^2 + 5x - 3 = -2x^3 - 2x^2 + 7x - 7

Simplified Expression

The simplified expression is:

-2x^3 - 2x^2 + 7x - 7

In conclusion, we have successfully expanded and simplified the algebraic expression (-x^3 + 2x - 4) - (x^3 + 2x^2 - 5x + 3) to obtain the final result -2x^3 - 2x^2 + 7x - 7.