To distribute and expand the expression 8 ( y − 4 ) , we use the distributive property of multiplication over subtraction. This property states that for any numbers a , b , and c , the expression a ( b − c ) is equal to ab − a c .
Here are the steps to expand the expression 8 ( y − 4 ) :
Multiply 8 by each term inside the parentheses.
First, multiply 8 by y : 8 im esy = 8 y
Next, multiply 8 by − 4 : 8 im es ( − 4 ) = − 32
Combine these results to get the expanded expression: 8 y − 32
Therefore, the expanded form of 8 ( y − 4 ) is 8 y − 32 .
This result shows how you can apply the distributive property to simplify expressions with parentheses by distributing the multiplication to each term within the parentheses.