Question

simplyfy: x^8-a^8/x^6-a^6​

Answer 1

Answer:

$(x + a)(x - a)$

Step-by-step explanation:

We know that if variable of equation is same and they are in divided form then power of these numbers is subtract

$\frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n}$

Given equation :

$\frac{ {x}^{8} - {a}^{8} }{ {x}^{6} - {a}^{6} } \\ \\ {x}^{(8 - 6)} - {a}^{(8 - 6)} \\ {x}^{2} - {a}^{2}$

Then we use identity :

${a}^{2} - {b}^{2} = (a + b)(a - b)$

Then

${x}^{2} - {a}^{2} = (x + a)(x - a)$