Factor the following polynomial completely. (x^8-6561)

x^8 - 6561

= (x^4 + 81)(x^4 - 81) one of these can't be factored further, but we have another difference of squares!

= (x^4 + 81)(x² + 9)(x² - 9)

= (x^4 + 81)(x² + 9)(x + 3)(x - 3) this is your final answer

cross multiplying, we get :

⇒ (3) × (5) = (9) × (x)

⇒ 15 = 9x

because that’s us why