Question

Which expression is equivalent to x6 – 9?

(x3)2 – 33


(x3)2 – 32


(x3)3 – 32

Answer 1

If you would like to know the equal expression to the x^6 - 9, you can do this using the following steps:

x^6 - 9 = (x^3)^2 - 3^2
(x^3)^2 = x^3 * x^3 = x^6
3^2 = 3 * 3 = 9

The correct result would be (x^3)^2 - 3^2.

Answer 2

`(x^(3))^(2) -3^(2)`

Explanation:

we have

`x^(6)-9`

we know that

`x^(6)-9=(x^(3))^(2) -3^(2)`

Applying difference of square

`(x^(3))^(2) -3^(2)=(x^(3)+3)(x^(3)-3)`