Video: Rewriting Expressions Using the Distributive Property

Rewrite the expression 6(46) + 6(49) using the distributive property.

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Video Transcript

Rewrite the expression six multiplied by 46 plus six multiplied by 49 using distributive property.

In order to rewrite the expression, we need to find a common factor between the two terms. In this case, the common factor is six. This means that we can factorize out a six.

To work out what goes inside the parenthesis, we need to look at what six was multiplied by. In the first term, six was multiplied by 46. Therefore, the first term in the parenthesis is 46.

In the second term, six was multiplied by 49. So our second term in the parenthesis is 49. The addition sign that was between the two terms needs to also go in the parenthesis.

Therefore, the expression six multiplied by 46 plus six multiplied by 49 can be rewritten six multiplied by 46 plus 49. The six that was originally distributed with the 46 and the 49 has now been factorized outside the parenthesis.

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