Simplifying the Expression: 1-2x-3x^2/3x-x^2-5
In this article, we will simplify the algebraic expression 1-2x-3x^2/3x-x^2-5.
Step 1: Simplify the Fraction
The expression contains a fraction, -3x^2/3x. We can simplify this fraction by canceling out the common factor, x.
-3x^2/3x = -x
So, the expression becomes:
1 - 2x - x - x^2 - 5
Step 2: Combine Like Terms
Now, we can combine like terms in the expression.
-2x - x = -3x (combine x terms)
The expression becomes:
1 - 3x - x^2 - 5
Step 3: Simplify the Expression
Finally, we can simplify the expression by combining the constant terms.
1 - 5 = -4
The simplified expression is:
-4 - 3x - x^2
Therefore, the simplified form of the expression 1-2x-3x^2/3x-x^2-5 is -4 - 3x - x^2.