Question

Find the following squares by using identities (a/b-b/a)^2

Answer 1

Step-by-step explanation:

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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

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Answer 2

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