(8b^3-6+3b^4)-(b^4-7b^3-3)

Jasonbradley

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Jun 16, 2024

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Simplifying the Expression: (8b^3 - 6 + 3b^4) - (b^4 - 7b^3 - 3)

To simplify the expression (8b^3 - 6 + 3b^4) - (b^4 - 7b^3 - 3), we need to follow the order of operations and combine like terms.

1. Distribute the negative sign:

Remember that subtracting a quantity is the same as adding the negative of that quantity. So, we distribute the negative sign to the terms inside the second set of parentheses:

(8b^3 - 6 + 3b^4) + (-1 * b^4) + (-1 * -7b^3) + (-1 * -3)

This simplifies to:

(8b^3 - 6 + 3b^4) - b^4 + 7b^3 + 3

2. Combine like terms:

We group the terms with the same variable and exponent together:

(3b^4 - b^4) + (8b^3 + 7b^3) + (-6 + 3)

3. Simplify:

Performing the indicated operations, we get:

2b^4 + 15b^3 - 3

Therefore, the simplified form of the expression (8b^3 - 6 + 3b^4) - (b^4 - 7b^3 - 3) is 2b^4 + 15b^3 - 3.