Technically those are two different things that you must do when dealing with algebra. For example:
3(3a+2b)+4a
First you use the distributive property with the 3(3a+2b). If there is a coefficient on the inside of the parentheses then you multiply it by the number on the outside of the parentheses. After doing so, the algebraic sentence would become:
9a+6b+4a
Then when you combine like terms, or when two terms have the same variable, therefore, can be combined, you take the sign in front of the like terms along with them. So you would take the addition sign along with 9a and 4a, meaning you add them together. Then the algebraic sentence would become:
13a+6b
(Hint: Always list the variables alphabetically, so 13a would come before 6b.)
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2f + 10 in distributive property
When using the distributive property to write an expression, you do not simplify within the parentheses before applying the property. The distributive property involves multiplying the term outside the parentheses by each term inside the parentheses. Once you have distributed the term, you can then simplify the resulting expression by combining like terms. Simplifying before distributing would result in an incorrect application of the distributive property.
The DISTRIBUTIVE property is a property of multiplication over addition (or subtraction). In symbolic terms, it states that a * (b + c) = a * b + a * c
(510)+(55)
14