2(10b+4)-(b-2)
To simplify the expression 2(10b+4)-(b-2), we apply the distributive property first by multiplying 2 to each term inside the parentheses:
2 * 10b + 2 * 4 - (b - 2)
This simplifies to:
20b + 8 - (b - 2)
Next, we distribute the negative sign to the terms inside the parentheses:
20b + 8 - b + 2
Combining like terms, we have:
(20b - b) + (8 + 2)
Simplifying further:
19b + 10
Therefore, the expression 2(10b+4)-(b-2) simplifies to 19b + 10.
To simplify the expression 2(10b+4)-(b-2), we will follow the order of operations, which is also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction):
Step 1: Start by simplifying the expressions within the parentheses.
Inside the first set of parentheses, we have 10b + 4. We'll leave that unchanged for now.
Inside the second set of parentheses, we have (b - 2).
Step 2: Apply the distributive property.
Distribute the 2 to both terms inside the first set of parentheses: 2 * 10b and 2 * 4.
This gives us: 20b + 8.
The expression now becomes: 20b + 8 - (b - 2).
Step 3: Remove the parentheses.
Distribute the negative sign to both terms inside the second set of parentheses: -b - (-2).
Remember that -(-2) is equivalent to adding 2, so this becomes: -b + 2.
The expression now becomes: 20b + 8 - b + 2.
Step 4: Combine like terms.
Combine the like terms, which are the terms with the same variable (b).
20b - b equals 19b, and 8 + 2 equals 10, so the expression simplifies to:
19b + 10.
Therefore, the simplified expression is 19b + 10.
To simplify the given expression, follow the order of operations or BEDMAS (Brackets, Exponents, Multiplication, Division, Addition, Subtraction).
First, let's simplify the expression inside the brackets:
10b + 4
Next, multiply the simplified expression by 2:
2(10b + 4)
Using the distributive property, distribute the 2 to each term inside the brackets:
20b + 8
Now, let's simplify the expression inside the parentheses:
b - 2
Finally, substitute the simplified terms back into the original expression:
2(10b + 4) - (b - 2)
= 20b + 8 - (b - 2)
Now, distribute the negative sign to both terms inside the parentheses:
= 20b + 8 - b + 2
Finally, combine like terms:
= 20b - b + 8 + 2
= 19b + 10
Therefore, the simplified expression is 19b + 10.