Solve the following equation.
$(7^ 3 − 7^ 2 + 6) × (6^ 3 − 2^ 3 − 3^ 2 + 1) ÷ (21^2 + 20^2 − 41)$ = ___________.
Answer & explanation
Correct answer: option 1
$(7^ 3 − 7^ 2 + 6) × (6^ 3 − 2^ 3 − 3^ 2 + 1) ÷ (21^2 + 20^2 − 41)$ =
= (343 - 49 + 6) × ( 216 - 8 - 9 + 1 ) ÷ ( 441 + 400 - 41)
= 300 × 200 ÷ 800
= 60000 ÷ 800
= 75