Simplifying the Expression (5x^26x9)(2x^2+8x1)
This article will guide you through simplifying the given expression: (5x^26x9)(2x^2+8x1).
Understanding the Steps
The key to simplifying this expression lies in understanding the concept of distributing the negative sign and combining like terms.

Distributing the Negative Sign: We start by distributing the negative sign outside the second set of parentheses. This means multiplying each term inside the parentheses by 1.
(5x^2  6x  9) + (1 * 2x^2) + (1 * 8x) + (1 * 1)

Simplifying: Now, we can simplify the expression by multiplying the negative sign:
(5x^2  6x  9)  2x^2  8x + 1

Combining Like Terms: The final step is to combine the terms with the same variables and exponents.
(5x^2  2x^2) + (6x  8x) + (9 + 1)

Result: After combining like terms, we get the simplified expression:
3x^2  14x  8
Conclusion
Therefore, the simplified form of the expression (5x^26x9)(2x^2+8x1) is 3x^2  14x  8.