How do I expand this expression?

\[ 3(2y - 5) \]

3 ⋅ ( 2 y − 5 ) = 3 ⋅ 2 y − 3 ⋅ 5 = 6 y − 15

Answered by Anonymous | 2024-06-10

Given the expression 3 ( 2 y − 5 ) ......[1]
Distributive property of multiplication states that when a number is multiplied by the sum of two numbers, then the first number can be distributed to both of those numbers and multiplied by each of them separately. i.e,
a ⋅ ( b + c ) = a ⋅ b + a ⋅ c
then, by using distributive property in equation [1]
3 ( 2 y − 5 ) = 3 ⋅ 2 y − 3 ⋅ 5
= 6 y − 15
Therefore, the expanded form of 3(2y-5) is; 6y-15 ;

Answered by OrethaWilkison | 2024-06-11

To expand the expression 3 ( 2 y − 5 ) , use the distributive property to get 6 y − 15 . This involves multiplying 3 by each term inside the parentheses. Thus, the final expanded form is 6 y − 15 .
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Answered by OrethaWilkison | 2024-12-23