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
.