(x4 − 9x + 5x7) + (5x − 10 + 3x4 − 2x2)
= 5x^7 + 4x^4 - 2x^2 - 4x - 10
To simplify the given expression, we need to combine like terms. Let's break it down step-by-step:
First, let's group the like terms:
(x^4 - 9x + 5x^7) + (5x - 10 + 3x^4 - 2x^2)
Next, let's combine the x^4 terms:
(x^4 + 3x^4 - 9x + 5x^7) + (5x - 10 - 2x^2)
Now, let's combine the x terms:
(x^4 + 3x^4 - 9x + 5x - 10 + 5x^7 - 2x^2)
Let's combine the like terms:
(4x^4 - 4x - 10 + 5x^7 - 2x^2)
The simplified expression is:
5x^7 + 4x^4 - 2x^2 - 4x - 10
To simplify the given expression, we need to combine like terms, which means adding or subtracting variables with the same exponent or degree.
Let's break down the expression term by term:
(x^4 − 9x + 5x^7) + (5x − 10 + 3x^4 − 2x^2)
Step 1: Combine like terms with the same exponent of x:
5x^7 + x^4 + (-9x + 5x) + (-2x^2 - 10)
Step 2: Simplify each group of like terms:
5x^7 + x^4 - 4x - 2x^2 - 10
Therefore, the simplified form of the expression is:
5x^7 + x^4 - 2x^2 - 4x - 10