3x to the 3rd power plus 5x to the fifth power
3x to the 3rd power = 3x^3
5x to the fifth power = 5x^5
3x to the 3rd power plus 5x to the fifth power = 3x^3 + 5x^5
3X^3 + 5x^5 = x^3(3 + 5x^2).
To simplify the expression 3x^3 + 5x^5, follow these steps:
Step 1: Combine like terms.
The like terms in the expression are the ones with the same variable raised to the same power. In this case, we have x^3 and x^5.
So, the simplified expression would be:
5x^5 + 3x^3
And that's it. The expression 3x^3 + 5x^5 is simplified as 5x^5 + 3x^3.
To simplify the expression 3x^3 + 5x^5, we need to combine the like terms. Like terms have the same variable raised to the same exponent. In this case, both terms have the variable x raised to some exponent.
First, let's look at the exponents of x. We have x^3 and x^5. Since the exponent on x^5 is greater than the exponent on x^3, the terms are not like terms. Therefore, we cannot combine them directly.
However, to simplify the expression, we can factor out the common term x^3 from both terms.
3x^3 + 5x^5
= x^3(3 + 5x^2)
Now we have a common factor, x^3, which we can factor out. This leaves us with the simplified expression:
3x^3 + 5x^5
= x^3(3 + 5x^2)
So, the simplified form of the expression 3x^3 + 5x^5 is x^3(3 + 5x^2).