Question

Find (96)² using suitable identity​

Answer 1

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96 can also be written as 100 ― 4

(96) ² = (100)²-(4)²

By using the formula

(a-b)² = a²+b² -2ab

(100)²+(4)²-2×100×4

10000+16-800

10016-800

9216

Answer 2

To find — (96)²

Identity — ( a – b )² = ( a² – 2ab + b² )

=> ( 100 – 4 )²

{ a = 100 ; b = 4 }

Solution— (100)² – 2 × 100 × 4 + (4²)

=> 10000 – 800 + 16

=> 9216 (Ans) .