subtract
(9a+2b)-(3b+4a)
To subtract (9a+2b) from (3b+4a), we can rearrange the terms and combine like terms:
(9a+2b)-(3b+4a)
= 9a - 4a + 2b - 3b
= 5a - b
To subtract (9a+2b) from (3b+4a), we need to distribute the negative sign to each term in the second expression.
The given expression is:
(9a+2b) - (3b+4a)
First, distribute the negative sign:
9a + 2b - 3b - 4a
Next, combine like terms:
(9a - 4a) + (2b - 3b)
Combine the "a" terms:
5a + (2b - 3b)
Combine the "b" terms:
5a - b
Therefore, the result of subtracting (9a+2b) from (3b+4a) is 5a - b.
To subtract (9a+2b) - (3b+4a), you'll need to apply the distributive property and collect like terms. Let's break down the steps:
Step 1: Distribute the negative sign to the terms inside the parentheses:
-1 * (3b+4a) = -3b - 4a
Now the expression becomes (9a+2b) - (3b+4a) = 9a + 2b - 3b - 4a
Step 2: Collect like terms, which means combining terms that have the same variable:
(9a - 4a) + (2b - 3b) = 5a - b
So, the simplified expression is 5a - b.