Add: (2m−3)+(3n−1)+(3m+1)

Answer 1

To add the expressions (2m - 3) + (3n - 1) + (3m + 1), we can combine the like terms.

Looking at the "m" terms, we have 2m and 3m. Combining these, we get 2m + 3m = 5m.

Looking at the "n" terms, we have 3n. We don't have any other "n" terms to combine, so we leave it as it is.

Finally, looking at the constant terms, we have -3, -1, and 1. Combining these, we get -3 - 1 + 1 = -3.

Putting it all together, the sum of the expressions is 5m + 3n - 3.

Answer 2

Subtract: 2(10b+4)−(b−2).

Answer 3

To subtract the expression 2(10b + 4) - (b - 2), we distribute the 2 across the terms inside the parentheses.

First, distribute the 2 to the terms inside the first set of parentheses:
2 * 10b = 20b
2 * 4 = 8

Now, distribute the negative sign to the terms inside the second set of parentheses:
-1 * b = -b
-1 * -2 = 2

Now, we can re-write the expression:
20b + 8 - (b - 2)

To remove the parentheses, we need to distribute the negative sign to the terms inside the second set of parentheses:
20b + 8 - b + 2

Next, we can combine like terms:
(20b - b) + (8 + 2)
= 19b + 10

Therefore, the simplified expression is 19b + 10.

Answer 4

Subtract: (3g−4)−2(3g+4).

Answer 5

To subtract the expression (3g - 4) - 2(3g + 4), we need to distribute the 2 to the terms inside the parentheses.

First, distribute the 2 to the terms inside the second set of parentheses:
2 * 3g = 6g
2 * 4 = 8

Now, we can re-write the expression:
(3g - 4) - (6g + 8)

To remove the parentheses, we distribute the negative sign to the terms inside the second set of parentheses:
(3g - 4) - 6g - 8

Next, we can combine like terms:
3g - 6g - 4 - 8
= -3g - 12

Therefore, the simplified expression is -3g - 12.