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Question

Use a formula to find the value of the following:

(1) (296)2
(2) (205)2

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Solution

(1) (296)2 = (300 − 4)2, which can be solved as:
2962 = (300 − 4)2
= 90000 + 16 − 2400
= 87616

(2) (205)2, which can be solved as:
2052 = 2002 + 52 +2 × (200) × (5)
= 40000 + 25 + 2000
= 42025

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