Question

How could you correctly rewrite the equation 6(11 - 3) = 4(7 + 5) using the distributive property?

Answer 1

Given:

`6(11-3)=4(7+5)`

The distributive property of multiplication states that when a number is multiplied by the sum of two numbers, the first number can be distributed to both of those numbers and multiplied by each of them separately, then adding the two products together for the same result as multiplying the first number by the sum.

`a(b+c)=ab+ac`

Hence, applying the distributive property to the equation;

`\begin{gathered} 6(11-3)=4(7+5) \\ (6*11)-(6*3)=(4*7)+(4*5) \\ 66-18=28+20 \end{gathered}`

Therefore, the correct answer is;

`66-18=28+20`