# How do you solve #(t+1)^3=t^3+7#?

##### 2 Answers

#### Answer:

#### Explanation:

Expanding

Splitting middle term

#### Answer:

The two solutions are

#### Explanation:

Expand the cube, using the formula

In words, the cube of a sum is given by the sum of the two cubes, and the triple product of the square of an element and the other. In our case:

Writing the whole equation, we see that the cubes cancel out:

And subtracting

Thus, the two solutions are