Tasha believes that she can rewrite the difference \(120 - 36\) as a product of the GCF of the two numbers and another difference. Is she correct?
Answer (2)
Yes, she is correct because 120 - 36 is 84 just as 12(10 - 3) = 12 x 7 = 84.
Tasha is correct because the difference of 120 and 36, which is 84, can be expressed as a product of their greatest common factor, 12, and another difference, specifically (10 - 3). Thus, we have 120 − 36 = 12 × ( 10 − 3 ) = 84 .
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