Answer
($t^{4}$+8)($t^{4}$-3)
Work Step by Step
You are given ($t^{4}$$)^{2}$+5$t^{4}$-24.Factor out:
($t^{4}$$)^{2}$+8$t^{4}$-$3t^{6}$-24 -break out the middle number by finding what numbers add up to 5 and multiply to give -24.The numbers are -3 and 8-
(($t^{4}$$)^{2}$+8$t^{4}$)+($-3t^{4}$-24) -find the GCD of the first two and last two terms-
$t^{4}$($t^{4}$+8)-3($t^{4}$+8) -take ($t^{4}$+8) and factor it out-
The factored expression is ($t^{4}$+8)($t^{4}$-3)
