Answer
($m^{5}$+17)($m^{5}$+1)
Work Step by Step
You are given ($m^{5}$$)^{2}$+18$m^{5}$+17.Factor out:
($m^{5}$$)^{2}$+17m$^{5}$+$1m^{3}$+17 -break out the middle number by finding what numbers add up to 18 and multiply to give 17. The numbers are 17 and 1.
(($m^{5}$$)^{2}$+17$m^{5}$)+($m^{5}$+17) -find the GCD of the first two and last two terms-
$m^{5}$($m^{5}$+17)+1($m^{5}$+17) -take ($m^{5}$+17) and factor it out-
The factored expression is ($m^{5}$+17)($m^{5}$+1)
