Answer
($x^{6}$+5)($x^{6}$-24)
Work Step by Step
Rewrite the given polynomial into $ax^{2}$+Bx+c form to get ($x^{6}$$)^{2}$-19$x^{6}$-120 . Factor out:
($x^{6}$$)^{2}$-24x$^{6}$+$5x^{6}$-120 -break out the middle number by finding what numbers add up to -19 and multiply to give -120.The numbers are -24 and 5.
(($x^{6}$$)^{2}$-24$x^{6}$)+($5x^{6}$-120) -find the GCD of the first two and last two terms-
$x^{6}$($x^{6}$-24)+5($x^{6}$-24) -take ($x^{6}$+5) and factor it out-
The factored expression is ($x^{6}$+5)($x^{6}$-24)
