a + b = m, a2 + b2 = n এবং a3 + b3 = p3 হয়, তাহলে m3 + 2p3 = কত?

প্রশ্ন: a + b = m, a2 + b2 = n এবং a3 + b3 = p3 হয়, তাহলে m3 + 2p3 = কত?সমাধান:দেওয়া আছে,a + b = ma2 + b2 = nএখন,m3 + 2p3= (a + b)3 + 2(a3 + b3)= a3 + 3a2b + 3ab2 + b3 + 2a3 + 2b3= 3a3 + 3a2b + 3ab2 + 3b3= 3(a3 + a2b + ab2 + b3)= 3{a2(a + b) + b2(a + b)}= 3(a + b)(a2+b2)= 3 ⋅ m ⋅ n= 3mn