Question

a square + b square is equals to 99 ab is equal to 9 find the value of a - b​

Answer 1

Step-by-step explanation:

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Class 8

>>Maths

>>Squares and Square Roots

>>Finding Square of a Number

>>Find the squares of 99 usin...

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Find the squares of 99 using the identity

(a−b)

2

=a

2

−2ab+b

2

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Solution

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Correct option is

A

9801

99

2

=(100−1)

2

It is the form of (a−b)

2

, where a=100,b=1

Applying the formula (a−b)

2

=a

2

+b

2

−2ab

99

2

=(100−1)

2

=100

2

+1

2

−2×100×1=10000+1−200=9801

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