What is factor a^8x^8-1 ?

The solution to factor a^8x^8-1 is (x^4a^4+1)(x^2a^2+1)(xa+1)(xa-1)

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factor a^8x^8-1

factor

a^{8} x^{8} - 1

(x^{4} a^{4} + 1) (x^{2} a^{2} + 1) (x a + 1) (x a - 1)

Solution steps

a^{8} x^{8} - 1

Apply exponent rules

= (x^{4} a^{4})^{2} - 1^{2}

Apply Difference of Two Squares Formula:

x^{2} - y^{2} = (x + y) (x - y)

(x^{4} a^{4})^{2} - 1^{2} = (x^{4} a^{4} + 1) (x^{4} a^{4} - 1)

= (x^{4} a^{4} + 1) (x^{4} a^{4} - 1)

Factor

x^{4} a^{4} - 1 : (x^{2} a^{2} + 1) (x a + 1) (x a - 1)

= (x^{4} a^{4} + 1) (x^{2} a^{2} + 1) (x a + 1) (x a - 1)

2 - 3 x = 4

(2 x - 1) (x + 2) = 0

\frac{n}{2} + 2 = 10

\frac{4}{- 8}

4 n + 11 > - 9

What is factor a^8x^8-1 ?
The solution to factor a^8x^8-1 is (x^4a^4+1)(x^2a^2+1)(xa+1)(xa-1)