%2B(-x3%2B2x-4)-sama-dengan.jpeg "(x3+2x2-5x+3)+(-x3+2x-4) Sama Dengan")
Simplifying Algebraic Expressions
In this article, we will explore the process of simplifying algebraic expressions by combining like terms. Specifically, we will evaluate the expression (x3 + 2x2 - 5x + 3) + (-x3 + 2x - 4).
The Given Expression
The expression we are given is:
(x3 + 2x2 - 5x + 3) + (-x3 + 2x - 4)
Simplifying the Expression
To simplify this expression, we need to combine like terms. First, let's group the terms with the same variables:
x3 terms: x3 and -x3
x2 terms: 2x2 (no other term with x2)
x terms: -5x and 2x
constant terms: 3 and -4
Now, let's combine these like terms:
x3 terms: x3 - x3 = 0
x2 terms: 2x2 (no change)
x terms: -5x + 2x = -3x
constant terms: 3 - 4 = -1
The Simplified Expression
The simplified expression is:
2x2 - 3x - 1
Therefore, the result of the given expression (x3 + 2x2 - 5x + 3) + (-x3 + 2x - 4) is 2x2 - 3x - 1.
