## Algebra 1: Common Core (15th Edition)

($x^{6}$+5)($x^{6}$+7)
You are given ($x^{6}$$)^{2}+12x^{6}+35.Factor out: (x^{6}$$)^{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)