[tex] \frac{ {66}^{2} + {66}^{2} }{33} = \frac{( {2 \times 3 \times 11)}^{2} + {(2 \times 3 \times 11)}^{2} }{33} = \frac{ {2}^{2} \times {3}^{2} \times {11}^{2} + {2}^{2} \times {3}^{2} \times {11}^{2} }{33} = \frac{4 \times 9 \times 121 + 4 \times 9 \times 121}{33} = \frac{4356 + 4356}{33} = \frac{8712}{33} = \frac{ {2}^{3} \times {3}^{2} \times {11}^{2} }{3 \times 11} = {2}^{3} \times {3}^{2 - 1} \times {11}^{2 - 1} = 8 \times 3 \times 11 = 24 \times 11 = 264 [/tex]
