Subtract: 2(10b+4)−(b−2).
To simplify the expression 2(10b+4) - (b-2), we will use the distributive property first:
2 * 10b + 2 * 4 - (b - 2)
Expanding the expression further:
20b + 8 - (b - 2)
Next, we will remove the parentheses by distributing the negative sign:
20b + 8 - b + 2
Combining like terms:
(20b - b) + (8 + 2)
Simplifying again:
19b + 10
The simplified expression is 19b + 10.
To subtract the expression 2(10b+4)−(b−2), we can follow the distributive property to simplify it.
= 2 * 10b + 2 * 4 - (b - 2)
= 20b + 8 - (b - 2)
Now, we distribute the negative sign inside the parentheses:
= 20b + 8 - b + 2
Grouping like terms:
= (20b - b) + (8 + 2)
Simplifying:
= 19b + 10
Therefore, 2(10b+4)−(b−2) simplifies to 19b + 10.
To subtract the expression given, 2(10b + 4) - (b - 2), follow these steps:
Step 1: Distribute the 2 to the terms inside the parentheses
2 * 10b = 20b
2 * 4 = 8
So, 2(10b + 4) becomes 20b + 8.
Step 2: Now, distribute the negative sign (-) to the terms inside the parentheses
-b * -1 = b
-2 * -1 = 2
So, -(b - 2) becomes -b + 2.
Step 3: Now, substitute the resulting expressions into the original equation:
20b + 8 - (b + 2)
Step 4: Remove parentheses and combine similar terms:
20b - b + 8 - 2
Simplify this by subtracting b from 20b:
19b + 8 - 2
And subtracting 2 from 8:
19b + 6
So, the simplified expression after subtracting is 19b + 6.