Tasha belives that she can rewrite the diffrence 120 - 36 as a product of the GCF of the two numbers and another diffrence. Is she correct? Explain your awnser.

Question

Mathematics

Flowers

16 August, 11:54

Tasha belives that she can rewrite the diffrence 120 - 36 as a product of the GCF of the two numbers and another diffrence. Is she correct? Explain your awnser.

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Answers (2)

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Esperanza Murray · Answer 1

Tasha is correct. This is what the distributive property is all about.

120 - 36 = 12·10 - 12·3 = 12· (10 - 3)

Weber · Answer 2

tasha is correct because

We can write the GCF for each number as

120=2x2x2x3x5

36=2x2x3x3

GCF = 2x2x3=12

we then can write out 120-36 is (12 x 10) - (12 x 3) - 12 (10-3)