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Mathematics

Evaluate:

(i) (674)2 - (326)2

(ii) (18.6)2 - (1.4)2

Factorisation

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Answer

(i) Given,

⇒ (674)2 - (326)2

By using the identity,

(a2 - b2) = (a + b)(a - b)

⇒ (674 + 326)(674 - 326)

⇒ (1000)(348)

⇒ 348000.

Hence, (674)2 - (326)2 = 348000.

(ii) Given,

⇒ (18.6)2 - (1.4)2

By using the identity,

(a2 - b2) = (a + b)(a - b)

⇒ (18.6 + 1.4)(18.6 - 1.4)

⇒ (20)(17.2)

⇒ 344.

Hence, (18.6)2 - (1.4)2 = 344.

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