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Airida [17]
3 years ago
10

Which long division problem can be used to prove the formula for factoring the difference of two perfect cubes?

Mathematics
1 answer:
worty [1.4K]3 years ago
4 0

Answer:

a-b  divided into a^{3} + 0a^{2} b + 0 ab^{2} - b^{3}

the reason is that the (a-b) vs (a+b) in the "SOAP"

same, opposite, always a plus the "-" in the "a-b" has to match the

sign between the two cubes

Step-by-step explanation:

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4 years ago
Mr. Smith's wife works at an animal hospital. There is a equivalent fraction relationship between the number of dogs and cats in
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Answer:

There are 10 dogs in the kennels

Step-by-step explanation:

The equivalent fraction relationship between the number of dogs and cats in the kennels is 1/2.

Which means, if n_d the number of dods and n_c is the number of cats, then,

\frac {n_d}{n_c}=\frac{1}{2}\cdots(i)

Given that there are 20 cats, so n_c=20.

Now, from equation (i) we have,

\frac {n_d}{20}=\frac{1}{2}

\Rightarrow n_d=\frac{1}{2}\times 20

\Rightarrow n_d= 10.

Hence, there are 10 dogs in the kennels.

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Step-by-step explanation:

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