Question

Help me please!
Which expression is equivalent to 9(n + 3) + 15n after using the distributive property?

A.) 9(n + 3 + 15)n
B.) 9 x n + 9 + 3 + 15n
C.) 9 x n + 3 + 15n
D.) 9 x n + 9 x 3 + 9 x 15n

Answer 1

Hey there !

Solution:

Distributive Property : It is a property of numbers which have  addition and multiplication of numbers in the same problem. The syntax is as follows:

a ( b + c ) = a × b + a × c

=> 9 ( n + 3 ) = 9 × n + 9 × 3

=> 9 ( n + 3 ) = 9n + 27

And now let us add 15 n to the final equation. Hence we get,

=> 9n + 27 + 15n

=> ( 9 × n + 9 × 3 ) + 15n

This is the final answer.

Hope my answer helped !