Add or subtract, as indicated. See Example 4. (5x² - 4x + 7) +...

Question

Add or subtract, as indicated. See Example 4. (5x² - 4x + 7) + (-4x² + 3x - 5)

Accepted Answer

Hello, everyone. We are asked for the following polynomial expression to perform the indicated operations to simplify it. The expression we are given is open parentheses. Nine H squared plus seven H minus three closed parentheses plus open parentheses, negative eight H squared minus six H plus nine closed parentheses. Our answer choices are A H squared minus H plus six bh squared plus H plus six CH squared plus H minus 12 DH squared minus H minus 12. First, I'm gonna rewrite my expression. So open parentheses, nine squared plus seven minus three, closed parentheses plus open parentheses, negative eight H squared minus six H plus nine closed parentheses. The first thing I check is what sign is between my parentheses. I see that it is a plus sign which means I can disregard my parentheses and start combining like terms. So my first set of like terms that I'm gonna combine are those with the highest exponent or degree. So I'm gonna combine nine H squared and negative eight H squared and that combines to a positive one H squared which can be written as H squared. Next, I'm gonna combine positive seven inch and negative six inch and that will give me a positive one, H which we will write as just plus H and finally, my constants negative three and positive nine, we combine to a positive six. So we rate that as plus six. So combining my like terms, we have H squared plus H plus six as our solution. And that's answer choice B have a nice day.

Add or subtract, as indicated. See Example 4. (5x² - 4x + 7) + (-4x² + 3x - 5)

Key Concepts

Polynomial Addition and Subtraction

Like Terms

Distributive Property

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