Question

simplify a^8 -1
solve it ​

Answer 1

Answer:

a⁸-1

(a-1) (a⁷+a⁶+a⁵+a⁴+a³+a²+a+1)

(a-1) (a+1) (a²+1) (a⁴+1)

Answer 2

Answer:

$(a-1)$ * $(a^{7} + a^{6} +a^{5} +a^{4} +a^{3} +a^{2} + a + 1)$

Step-by-step explanation:

According to formula,

     $(a^{n} - 1)$ = $(a-1)$ * $(a^{n-1} + a^{n-2} +...+ a^{2} + a +1)$

So, the answer of,

$a^{8} -1$  =  $(a-1)$ * $(a^{7} + a^{6} +a^{5} +a^{4} +a^{3} +a^{2} + a + 1)$