find the square without multiplication (997)2 solve
Answers
Answered by
0
Answer:
994004..... ... ..........
Answered by
39
Answer:
994009
Step-by-step explanation:
( 997 )²
= ( 1000 - 3 )²
We will use identity,
( a - b )² = a² + b² - 2ab
Now let 1000 be 'a' and 3 be 'b'
= 1000² + 3² - 2 × 1000 × 3
= 1000000 + 3² - 2 × 1000 × 3
= 1000000 + 9 - 2 × 1000 × 3
= 1000000 + 9 - 2000 × 3
= 1000000 + 9 - 2000 × 3
= 1000000 + 9 - 6000
= 1000000 + 9 - 6000
= 1000009 - 6000
= 994009 Ans.
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