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Find the value of (38^2 - 22^2)/16 , using a suitable identity.

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Find the value of (382 - 222)/16 , using a suitable identity.

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Best answer

Since a2 – b2 = (a + b) (a – b), therefore 

382 – 222 

= (38 – 22) (38 + 22)

= 16 × 60 

So,

(382 - 222)/16

= (16 x 60)/16

= 60

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