(2k3−7k2+3k)−(−4k2+5k)

Jasonbradley

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Jun 16, 2024

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Simplifying Algebraic Expressions

This article will guide you through simplifying the algebraic expression: (2k³ - 7k² + 3k) - (-4k² + 5k).

Understanding the Expression

The expression consists of two sets of terms enclosed in parentheses. The first set is (2k³ - 7k² + 3k), and the second set is (-4k² + 5k). The minus sign in between these sets indicates subtraction.

Simplifying the Expression

1. Distribute the negative sign: Since we are subtracting the second set of terms, we can distribute the negative sign to each term inside the parentheses. This means changing the signs of the terms inside the second set:

   (2k³ - 7k² + 3k) + 4k² - 5k

2. Combine like terms: Now, we can combine the terms with the same variable and exponent. Let's group the like terms:

   2k³ - 7k² + 4k² + 3k - 5k

3. Simplify: Finally, add or subtract the coefficients of the like terms:

   2k³ - 3k² - 2k

Conclusion

Therefore, the simplified form of the expression (2k³ - 7k² + 3k) - (-4k² + 5k) is 2k³ - 3k² - 2k.