#### Answer

($x^{6}$+5)($x^{6}$+7)

#### Work Step by Step

You are given ($x^{6}$$)^{2}$+12$x^{6}$+35.Factor out:
($x^{6}$$)^{2}$+5$x^{6}$+$7x^{6}$+35 -break out the middle number by finding what numbers add up to 12 and multiply to give 35.The numbers are 5 and 7-
(($x^{6}$$)^{2}$+5$x^{6}$)+($7x^{6}$+35) -find the GCD of the first two and last two terms-
$x^{6}$($x^{6}$+5)+7($x^{6}$+5) -take ($x^{6}$+5) and factor it out-
The factored expression is ($x^{6}$+5)($x^{6}$+7)