Question

Factorise x⁶-26x³-27​

Answer 1

Answer:

(x+1)(x²-x+1)(x-3)(x²+3x+9)

Step-by-step explanation:

(x³)²-26x³-27

let x³=X

=X²-26X-27

=X²-(27-1)X-27

=X²-27X+X-27

=X(X-27)+1(X-27)

=(X+1)(X-27)

then put X=x³

(X+1)(X-27)

=(x³+1)(x³-27)

=(x+1)(x²-x+1)(x-3)(x²+3x+9)