### Video Transcript

Rewrite nineteen times thirty-four plus twenty-one using the distributive property.

Letβs remind ourselves what the distributive property says. Hereβs a representation of the distributive property: π times π plus π equals π times π plus π times π. Weβve taken our π and distributed it across the π and the π. Instead of adding π plus π and then multiplying by π, weβre gonna multiply our π times the π, multiply our π times the π, and then add them together. Both options produce the same value in the end; theyβre equal.

We want to rewrite nineteen times thirty-four plus twenty-one using the same property. How would we do that? We need to distribute the nineteen across the thirty-four and the twenty-one. This is what that would look like: nineteen times thirty-four plus nineteen times twenty-one.

We canβt forget that thereβs still an element of addition in the problem. Our question asked us to rewrite the expression using the distributive property. This is what that looks like: nineteen times thirty-four plus nineteen times twenty-one.