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How could you correctly rewrite the equation

6(11-3) = 4(7+5) using the distributive property?

1 answer

To rewrite the equation \( 6(11-3) = 4(7+5) \) using the distributive property, we will distribute the multiplication across the terms inside the parentheses on both sides of the equation.

  1. Left Side: Apply the distributive property to \( 6(11-3) \): \[ 6(11) - 6(3) = 66 - 18 = 48 \]

  2. Right Side: Apply the distributive property to \( 4(7+5) \): \[ 4(7) + 4(5) = 28 + 20 = 48 \]

Now, we can write the equation in its expanded form: \[ 66 - 18 = 28 + 20 \]

Thus, the correct rewrite of the equation using the distributive property is: \[ 66 - 18 = 28 + 20 \]