Simplify 2(a+3b)-2(2b-a)
2(a+3b)-2(2b-a) can be simplified using the distributive property:
2 * a + 2 * 3b - (2 * 2b) - (2 * -a)
= 2a + 6b - 4b + 2a
Combine like terms:
= 4a + 2b
Therefore, 2(a+3b)-2(2b-a) simplifies to 4a + 2b.
To simplify the expression 2(a+3b)-2(2b-a), follow these steps:
Step 1: Distribute the 2 to the terms inside the first set of parentheses:
2(a+3b) = 2a + 6b
Step 2: Distribute the -2 to the terms inside the second set of parentheses:
-2(2b-a) = -4b + 2a
Step 3: Combine the like terms:
2(a+3b)-2(2b-a) = (2a + 6b) - (-4b + 2a)
Step 4: Remove the parentheses and combine the terms:
2a + 6b - (-4b + 2a) = 2a + 6b + 4b - 2a
Step 5: Combine the like terms:
(2a + 2a) + (6b + 4b) = 4a + 10b
So, the simplified form of 2(a+3b)-2(2b-a) is 4a + 10b.