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

Jasonbradley

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Jun 16, 2024

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Simplifying the Expression: (4x^3 + 3x^4) - (x^4 - 5x^3)

This article will guide you through simplifying the expression (4x^3 + 3x^4) - (x^4 - 5x^3).

Step 1: Distribute the Negative Sign

The first step is to distribute the negative sign in front of the second set of parentheses. This means multiplying each term inside the parentheses by -1:

(4x^3 + 3x^4) + (-1)(x^4 - 5x^3)

This becomes:

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

Step 2: Combine Like Terms

Now we can combine the terms with the same variable and exponent. Let's start with the x^4 terms:

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

Next, combine the x^3 terms:

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

Finally, combine the remaining terms:

2x^4 + 9x^3

Final Answer

Therefore, the simplified form of the expression (4x^3 + 3x^4) - (x^4 - 5x^3) is 2x^4 + 9x^3.