What multiplication expression can be broken apart into (3x10) + (3x10) using the distributive property

(3*10) + (3*10) is the same as

(3 + 3) * 10

6 * 10

The correct answer is: 6 * 10

Explanation:

The distributive property is expressed as follows:

(b+c) a = ba + ca - - - (1)

Method-1 (Guessing method):

Now if a = 10, b + c = 6; we can say that b = 3 and c = 3 would satisfy the condition of b+c = 6.

Plug in the values of a, b and c in (1):

(1) = > (3+3) * 10 = (3*10) + (3*10)

Hence 6*10 is the required expression.

Method-2 (Solving in reverse):

Given: (3x10) + (3x10)

Take 10 out as common:

(3+3) * 10

As you can see the expression above satisfies the distributive propery mentioned above as (1).

(3x10) + (3x10) = (3+3) * 10 = 6*10