Question

)217^2-183^2 ,find using identities​

Answer 1

Answer:

Just use these mathematical identities to solve the problem.

Identities :-

(a+b)^2 = a^2 + b^2 + 2ab

(a-b)^2 = a^2 + b^2 - 2ab

=> (a+b)^2 +(a-b)^2 = 2(a^2+ b^2)

Now on to the question :-

217=200+17 => (217)^2 = (200+17)^2

183=200–17 => (183)^2 = (200–17)^2

Therefore,

217*217+183*183 = (217)^2+(183)^2

=> (200+17)^2 + (200–17)^2

=> 2[(200)^2+(17^2)]

=> 2[40000+289]

=> 2[40289]

=> 80578 Ans.

Step-by-step explanation:

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