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yaroslaw [1]
2 years ago
14

Simplify the following expression. ? 9t2 + 7t + 4 - 2t2 + 5t

Mathematics
1 answer:
Katen [24]2 years ago
6 0

Answer:

I'm assuming the 2 after 9t and -2t means squared.

7t² + 12t + 4

Step-by-step explanation:

To simplify the expression we should combine like terms. Like terms are terms with same variables and powers.

Let's start with 9t² and -2t² since they have the same variable and power of t². To combine them we should add them together which would be: 9t² + (-2t²) = 9t² - 2t² = 7t²

Next we can combine 7t and 5t since they have the same variable and power of t. 7t + 5t = 12t

4 doesn't have any like terms so we leave it as it is.

Lastly we add all of our terms: 7t² + 12t + 4

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Step-by-step explanation:

In a factoring problem by hand, the common steps to solve would be the "AM" method, or (Add-Multiply). Simply stated, finding what adds to the x-coeficient and what multiplies to the constant. In this case, what adds to 39(x) and what multiplies to 8. Just reading that, we can see that there aren't any numbers that can do that, so we have to improvise. Set up the problem equal to something that it can factor into:

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