Which expressions are equivalent to (5*x)*3

Question

A) 3*(5*x)        B)5*3+x*3            C)5*(x*3)          D)5*3*x*3      E)15x

Answer 1

As written answers A, C, and E are correct

 

 

(A)    (5*x)*3 = 3*(5*x)  by commutative property

 

(C) (5*x)*3 = 5*(x*3) by associative property

 

(E)  (5*x)*3 = (x*5)*3   <--- commutative

 

                   = x*(5*3)  <--- associative

 

                   = x*15 <--- multiplication

 

                   = 15x  <--- commutative; definition of multiplication