Find Each Sum Or Difference. Its addition.
3a+2b - 7c
-4a+6b+9c
-3a - 2b - 7c
To find the sum or difference of algebraic expressions, you simply combine the like terms. Like terms are terms that have the same variables raised to the same powers.
Let's break down each expression and group the like terms together:
Expression 1: 3a + 2b - 7c
In this expression, we have the terms 3a, 2b, and -7c. Since there are no other terms to combine with them, this expression contains all the distinct terms.
Expression 2: -4a + 6b + 9c
Here, we have the terms -4a, 6b, and 9c. Similarly, there are no other terms to combine them with.
Expression 3: -3a - 2b - 7c
Again, we have the terms -3a, -2b, and -7c. Similarly, there are no other terms to combine them with.
To find the sum, add all the like terms together:
Sum: (3a - 4a - 3a) + (2b + 6b - 2b) + (-7c + 9c - 7c)
Simplifying, we get:
-4a + 6b - 1c
Therefore, the sum of the given expressions is -4a + 6b - 1c or you can also write it as 6b - 4a - c.