Homework Sourse2t2t 6 middot t2 3610t2 t 65t2 15t 6 5t 6 t 65Solution
2t^2/t + 6 middot t^2 - 36/10t^2 t - 6/5t^2 1/5(t - 6) 5(t - 6) t - 6/5![2t^2/t + 6 middot t^2 - 36/10t^2 t - 6/5t^2 1/5(t - 6) 5(t - 6) t - 6/5Solution[2t2/(t + 6)][ (t2 -36)/10t2] = (2t2/10t2) [ (t2 -36) /(t + 6)] = (1/5)[ ( t +6)](/WebImages/44/2t2t-6-middot-t2-3610t2-t-65t2-15t-6-5t-6-t-65solution-1137944-1761609563-0.webp "2t^2/t + 6 middot t^2 - 36/10t^2 t - 6/5t^2 1/5(t - 6) 5(t - 6) t - 6/5Solution[2t2/(t + 6)][ (t2 -36)/10t2] = (2t2/10t2) [ (t2 -36) /(t + 6)] = (1/5)[ ( t +6)")
Solution
[2t2/(t + 6)][ (t2 -36)/10t2] = (2t2/10t2) [ (t2 -36) /(t + 6)] = (1/5)[ ( t +6)(t -6)/(t +6)] = (t -6)/5. The answer D is correct.
Note:
The formula used is a2 – b2 = (a + b)( a – b)
