Use the Distributive Property to find which expression is equivalent to 9x2−25.(1 point)
Responses
(4.5x+12.5)(4.5x−12.5)
left parenthesis 4.5 x plus 12.5 right parenthesis left parenthesis 4.5 x minus 12.5 right parenthesis
(3x+5)2
left parenthesis 3 x plus 5 right parenthesis squared
9x(x−25)
9 x left parenthesis x minus 25 right parenthesis
(3x+5)(3x−5)
left parenthesis 3 x plus 5 right parenthesis left parenthesis 3 x minus 5 right parenthesis
To use the Distributive Property to find the expression equivalent to 9x^2 - 25, we need to multiply 9x by each term inside the parentheses.
Option 1: (4.5x+12.5)(4.5x-12.5)
This expression does not correspond to the Distributive Property.
Option 2: (3x+5)^2
This expression does not correspond to the Distributive Property.
Option 3: 9x(x-25)
This expression is the result of applying the Distributive Property. The expression is equivalent to 9x^2 - 225.
Option 4: (3x+5)(3x-5)
This expression does not correspond to the Distributive Property.
Therefore, the equivalent expression is 9x(x-25).