Question

factorise the following algebraic expression​

Answer 1

Answer:

( x - 3 ) ( x + 3 ) ( x² + 3² )

Step-by-step explanation:

x⁴ - 81

= x⁴ - 3⁴

= ( x² )² - ( 3² )²

= ( x² - 3² ) ( x² + 3² )

= ( x - 3 ) ( x + 3 ) ( x² + 3² )

Answer 2

Answer

(x-3)(x+3)(x^2+9)

or

(x-3)(x+3)(x+9)^2 -6x

explanation

x^4 -81

by using difference of two square

x^4 - 81

(x^2 - 9)(x^2 +9)

again use difference of two square

(x-3)(x+3)(x^2 +9)

we can solve ahead by using this formula (a+b)^2 -2ab= a^2 +b^2......

(x-3)(x+3)(x+3)^2 -6x...

this is all.......