add 5a+7b-8c-9,5a-6c+9and7a+2b-c+5
Answers
Question
Add 5a + 7b - 8c - 9, 5a - 6c + 9 and 7a + 2b - c + 5
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Answer
⇒ 5a + 7b - 8c - 9 + 5a - 6c + 9 + 7a + 2b - c + 5
First, we'll combine like terms in the question.
⇒ 5a + 7b - 8c - 9 + 5a - 6c + 9 + 7a + 2b - c + 5
⇒ 5a + 5a + 7a + 7b + 2b - 8c - 6c - c - 9 + 9 + 5
Now, we will add and subtract the values accordingly.
⇒ 5a + 5a + 7a + 7b + 2b - 8c - 6c - c - 9 + 9 + 5
⇒ 17a + 9b - 15c + 5
∴ 5a + 7b - 8c - 9 + 5a - 6c + 9 + 7a + 2b - c + 5 = 17a + 9b - 15c + 5
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Additional Information
An algebraic expression is a mathematical statement that consists of different variables and constants. An algebraic expression doesn't consist of an equal sign.
Constants are values that have a fixed value.
Variables are values whose values varies.
Algebraic Identities are properties that makes it easy for us to solve an algebraic expression. Some of them are listed below.
- (a + b)² = a² + 2ab + b²
- (a - b)² = a² - 2ab + b²
- (a - b) (a + b) = a² - b²
- (x + a) (x + b) = x² + (a + b)x + ab
- (a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ac
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Answer:
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