3. Find the squares of the following numbers using the identity (a + b)2 = a + 2ab + b. (a) 610 (b) 102 4. Find the squares of the following numbers using the identity (a - b2 = 1 - 2ab + b (c) 305 (a) 982 (b) 9992 (c) 4952
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Answered by
1
Answer:
Correct option is
A
998001
Decomposing the given number,
⇒ 999=1000−1 ---- ( 1 )
Here, a=1000 and b=1
Squaring both the sides of ( 1 ),
⇒ (999)
2
=(1000−1)
2
=(1000)
2
−2(1000)(1)+(1)
2
[ (a−b)
2
=a
2
−2ab+b
2
]
=1000000−2000+1
=998001
∴ (999)
2
=998001
Step-by-step explanation:
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