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Using my knowledge of greatest common factors and the distributive property, I can tell that 45 + 63 is equal to 9(5 + 7) or 9 x 12, which is 108. Of course, I could also tell that from my knowledge of addition.

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Q: How can you use your knowledge of greatest common factors and the distributive property to write equivalent expressions?
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Use the greatest common factor and the distributive property to write equivalent expressions in factored form. 13ab + 15ab?

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How can you write equivalent expressions with Greatest common factor and the distributive property?

Suppose x and y are two terms with GCF k where the assumption (in this context) is that k is greater than 1. That implies that x = pk and y = qk where p and q are coprime terms. Then x + y = pk + qk and, using the distributive property, this is k*(p + q).


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