Question

HOW DO YOU FACTOR a^3-27?

Answer 1

27=3^3

so
a^3-27=
a^3-3^3=
(a-3)(a²+3a+3²)=
(a-3)(a²+3a+9)

Answer 2

EXPLAIN FURTHER

Answer 3

[AI-generated answer — Explain Bot]

To factor the expression a^3 - 27, we can first recognize that it is a difference of cubes. The general formula for factoring a difference of cubes is:

a^3 - b^3 = (a - b)(a^2 + ab + b^2)

In this case, we have a^3 - 27. Notice that 27 can be expressed as 3^3. So we can rewrite the expression as:

a^3 - 27 = a^3 - 3^3

Now we can apply the formula for factoring a difference of cubes:

a^3 - b^3 = (a - b)(a^2 + ab + b^2)

Using this formula, we substitute a = a and b = 3:

a^3 - 3^3 = (a - 3)(a^2 + 3a + 3^2)

Thus, factoring the expression a^3 - 27 results in (a - 3)(a^2 + 3a + 9).