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

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

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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