Simplifying the Expression: (x^2  x) + (8x  2x^2)
This article will guide you through simplifying the algebraic expression: (x^2  x) + (8x  2x^2).
Understanding the Expression
The expression involves terms with different powers of 'x'. We have:
 x^2 terms: x^2 and 2x^2
 x terms: x and 8x
Simplifying the Expression
To simplify, we combine like terms:

Combine x^2 terms: x^2  2x^2 = x^2

Combine x terms: x + 8x = 7x

Combine the simplified terms: x^2 + 7x
Final Simplified Expression
Therefore, the simplified form of the expression (x^2  x) + (8x  2x^2) is x^2 + 7x.
This simplified form is equivalent to the original expression and can be used in further algebraic operations or calculations.