It is: (x-y)4
(x^2 + 4)(x^4 - 4x^2 + 16)
3x^4 - 12 = 3(x^4 - 4) = 3(x² + 2)(x² - 2)
(x - 2)(x + 2)(x2 - 2x + 4)(x2 + 2x + 4)
x^3 + 8 = (x + 2)(x^2 - 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)
This factors as (x5 - 4) (x5 + 4).
The Greatest Common Factor (GCF) of x^6 and x^4 is x^4. When finding the GCF of algebraic terms, you look for the highest power of the variable that appears in both terms. In this case, x^4 is the highest power of x that is common to both x^6 and x^4. Therefore, the GCF is x^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)