Answer: 10) Fourth option
Step-by-step explanation:
10) [tex]\frac{t^2+2t-24}{t^2-36}[/tex]
Factor t^2 + 2t - 24
What two numbers add to 2 and multiply to -24?
6 and -4 so
(t + 6)(t - 4) is the factored form
t^2 - 36 factored is => because of a^2 - b^2 = (a - b)(a + b)
[tex]\frac{(t + 6)(t - 4)}{(t + 6)(t - 6)} = \frac{t-4}{t-6}[/tex]
Since we cancelled out be t + 6, t + 6 ≠ 0, t ≠ -6
And since the denominator is t - 6, t - 6 ≠ 0, t ≠ 6
[tex]\frac{t-4}{t-6}[/tex] , t ≠ -6, t ≠ 6
#11 is similar, try that yourself :)
