First, you can take out the common factor "x".For what remains (the factor other than "x"), you can use the formula for the difference of two cubes.
It is x*(x3 - 1).
It is: (x-y)4
(x^2 + 4)(x^4 - 4x^2 + 16)
The exponent tells how many times the base is used as a factor. Three to the fourth power is 3 x 3 x 3 x 3
3x^4 - 12 = 3(x^4 - 4) = 3(x² + 2)(x² - 2)
(x - 2)(x + 2)(x2 - 2x + 4)(x2 + 2x + 4)
x^2(x - 4)(x + 4)
It is: (x-y)4
Example: 4 to the power of 3 = 4 x 4 x 4 that is the answer
Numbers with exponents are sometimes referred to as a power. For example, x^4 can be called "x to the fourth power" which means that x is used as a factor four times. So, in a power, the number used as a factor is the base.
(x^2 + 4)(x^4 - 4x^2 + 16)
The exponent tells how many times the base is used as a factor. Three to the fourth power is 3 x 3 x 3 x 3
This factors as (x5 - 4) (x5 + 4).
3x^4 - 12 = 3(x^4 - 4) = 3(x² + 2)(x² - 2)
x^8 - y^8 = (x - y)(x + y)(x^2 + y^2)(x^4 + y^4)
(x - 2)(x + 2)(x2 - 2x + 4)(x2 + 2x + 4)
x^3 + 8 = (x + 2)(x^2 - 2x + 4)
(x^2 - 2x + 2)(x^2 + 2x + 2)