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The distributive property in algebra allows a factor to be multiplied by each term within a group of added or subtracted terms []. Unlike arithmetic, where unknown variables prevent simplifying the group first, algebra relies on this property to rewrite expressions []. For instance, 3 times the group (x + 6) becomes 3x + 18 by distributing the '3' to both 'x' and '6' []. This pattern extends to expressions with multiple terms, like 'a' times (b + c + d), which expands to ab + ac + ad, showing that multiplication is implied when a factor is adjacent to a group [].
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Video summary will appear here after you start watching
The distributive property in algebra allows a factor to be multiplied by each term within a group of added or subtracted terms []. Unlike arithmetic, where unknown variables prevent simplifying the group first, algebra relies on this property to rewrite expressions []. For instance, 3 times the group (x + 6) becomes 3x + 18 by distributing the '3' to both 'x' and '6' []. This pattern extends to expressions with multiple terms, like 'a' times (b + c + d), which expands to ab + ac + ad, showing that multiplication is implied when a factor is adjacent to a group [].