If a + b = 11 and ab = 35, then what is the value of $(a^4+b^4)$?

151 261 124 102

151

If a + b = 11 ab = 35 If a + b = n Then  a2 + b2 = n2 - 2ab So, a2 + b2 = 112 - 2 × 35 a2 + b2 = 121 - 70 = 51 and,  a4 + b4 = 512 - 2 × 35 ×  35 = 151