# If #x-y=3# then #x^3-y^3=#?

##### 2 Answers

#### Answer:

The best we can do is:

There is no single solution

#### Explanation:

We know that in general

and since

this gives us

There is no single solution.

The table below shows some of the possible combinations:

#### Answer:

See explanation

#### Explanation:

To apply maths formatting open and close the maths string with the hash symbol. See https://socratic.org/help/symbols

The edit view of this question is:

Given: x-y=3 x^3-y^3=?

The given question is in an unexpected and unusual mathematical communication format. !!!!

From equation (1)

Substitution in (2) gives

Consider just the

Substituting back into (3)

Set this to equal

Factor out the 9

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From this point on it depends what you wish to do with it

Consider the

Apply

By substitution in (4)