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To evaluate the expression, we will simplify the numerator and the denominator separately using the order of operations (PEMDAS/BODMAS).

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To evaluate the expression, we will simplify the numerator and the denominator separately using the order of operations (PEMDAS/BODMAS).

The expression is:

26+82+62−56÷7×23+2\frac{26 + 8^2 + 6^2 - 56 \div 7 \times 2}{3 + 2}
  1. Simplify the numerator.

    26+82+62−56÷7×226 + 8^2 + 6^2 - 56 \div 7 \times 2

    First, calculate the exponents:

    26+64+36−56÷7×226 + 64 + 36 - 56 \div 7 \times 2

    Next, perform division and multiplication from left to right:

    26+64+36−(56÷7)×226 + 64 + 36 - (56 \div 7) \times 2 26+64+36−8×226 + 64 + 36 - 8 \times 2 26+64+36−1626 + 64 + 36 - 16

    Finally, perform addition and subtraction from left to right:

    (26+64)+36−16(26 + 64) + 36 - 16 90+36−1690 + 36 - 16 126−16126 - 16 110110

    So, the numerator is 110.

  2. Simplify the denominator.

    3+23 + 2 55

    So, the denominator is 5.

  3. Divide the simplified numerator by the simplified denominator.

    1105\frac{110}{5} 2222
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