Simply 3(2x+5y) - (-4x+3y)
To simplify 3(2x + 5y) - (-4x + 3y), we can start by removing the parentheses using the distributive property.
3(2x + 5y) - (-4x + 3y)
= 6x + 15y - (-4x + 3y)
Next, we can simplify the double negative by changing the signs inside the parentheses.
= 6x + 15y + 4x - 3y
Now, we can combine like terms.
= (6x + 4x) + (15y - 3y)
= 10x + 12y
Therefore, the simplified expression is 10x + 12y.
To simplify the expression 3(2x + 5y) - (-4x + 3y), you can follow these steps:
Step 1: Distribute the 3 to the terms inside the first set of parentheses.
3(2x + 5y) becomes 6x + 15y.
Step 2: Distribute the negative sign to the terms inside the second set of parentheses.
-(-4x + 3y) becomes +4x - 3y.
Step 3: Combine like terms by adding or subtracting.
Combining like terms, 6x + 15y - (-4x + 3y) simplifies to:
6x + 15y + 4x - 3y.
Step 4: Group like terms together.
Combining like terms, the expression simplifies to:
(6x + 4x) + (15y - 3y).
Step 5: Further simplify by adding or subtracting.
6x + 4x equals 10x, and 15y - 3y equals 12y.
So the final simplified expression is:
10x + 12y.