Subtract: 2(10b+4)−(b−2) .(1 point)
To solve this equation, we can distribute the 2 to both terms inside the parentheses, and distribute the negative sign to the terms inside the second parentheses.
First, distribute the 2:
2(10b+4) = 20b + 8
Next, distribute the negative sign:
-(b-2) = -b + 2
Now we can substitute these expressions back to the original equation:
20b + 8 - (-b + 2)
To subtract a negative number, we can rewrite it into addition by changing the sign:
20b + 8 + b - 2
Combining like terms:
(20b + b) + (8 - 2) = 21b + 6
So, 2(10b+4) - (b-2) = 21b + 6.
To subtract the given expression, we can distribute the 2 across the terms inside the parentheses, then combine like terms.
First, distribute the 2:
2(10b + 4) = 20b + 8
Now let's substitute this back into the original expression:
20b + 8 - (b - 2)
Next, distribute the negative sign across the terms inside the second set of parentheses:
20b + 8 - b + 2
Now, combine like terms:
(20b - b) + (8 + 2) = 19b + 10
The simplified expression after subtracting is 19b + 10.
To subtract the expression 2(10b + 4) - (b - 2), you need to distribute the 2 to both terms inside the parentheses first. Distributing means multiplying each term inside the parentheses by the number outside the parentheses.
Let's distribute the 2 to (10b + 4):
2 * 10b = 20b
2 * 4 = 8
Now we have 20b + 8.
Next, we need to distribute the negative sign to the second set of parentheses:
-1 * b = -b
-1 * -2 = 2
Now we have -b + 2.
Finally, we can combine like terms. We can combine the 20b with the -b, and the 8 with the 2.
20b - b = 19b
8 + 2 = 10
So, the simplified expression is 19b + 10.