Question

Evaluate bthe following by applying identities 97²

Answer 1

Step-by-step explanation:

here we can use the identity

(a-b)²=a²-2ab+b²

so we know that 100-3=97

therefore 97²=(100-3)²

by using above identity

where a=100 & b=3

(100-3)²= 100²-2*100*3+3²

=10000-600+9

=9409

but 97²=(100-3)²

therefore 97²=9409

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Answer 2

Answer:

9409

Step-by-step explanation:

97²=(100-3)²

Using the formula;(x-y)²=x²+y²-2xy

putting x=100 and y=3

=(100)²+(3)²-2(100)(3)

=10,000+9-600

=10,009-600

=9409

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