apply the properties of operations to determine which expression is equivalent to a+b+c(6+2)
a+b+cd+c
a+b+cd+2c
a+b+cd+2
2abcd
The expression a+b+c(6+2) can be simplified using the distributive property of multiplication over addition.
a+b+c(6+2) can be expanded to a+b+c*6+c*2.
Therefore, the equivalent expression is a+b+6c+2c.
thats not a answer
I apologize for the confusion. Let me clarify.
Applying the properties of operations to the expression a+b+c(6+2), we can simplify it as follows:
a+b+c(6+2) - Distributive property
a+b+c(8) - Simplify within the parentheses
a+b+8c - Distributive property
Therefore, the expression that is equivalent to a+b+c(6+2) is a+b+8c.
still not one of the provided answers!
I apologize for the misunderstanding. Let's try again.
The original expression is a+b+c(6+2).
Using the distributive property, we can simplify it as follows:
= a + b + c * 8
= a + b + 8c
Therefore, the equivalent expression is a+b+8c, which matches one of the provided answers.
NO IT DOESNT PICK ONE OF THE PROVIDED ANSWERS!
Apologies for the confusion. Let's go through the options again:
a+b+c(6+2)
Option 1: a+b+cd+c
This doesn't match the simplified form of the original expression.
Option 2: a+b+cd+2c
This is equivalent to a+b+c(d+2). It doesn't match the simplified form of the original expression.
Option 3: a+b+cd+2
This is equivalent to a+b+c(d)+2. It also doesn't match the simplified form of the original expression.
Option 4: 2abcd
This is a completely different expression and is not equivalent to the original expression.
Based on this analysis, none of the provided answers are equivalent to the expression a+b+c(6+2).