Question

evaulate 104² using suitable identity​

Answer 1

To Find :

• evaluate 104² using identity

Solution :

104 can be written as 100 + 4

So,

= (100 + 4)²

Using identity (a + b)² = a² + b² + 2ab

= 100² + 4² + 2 × 100 × 4

= 10000 + 16 + 8 × 100

= 10000 + 16 + 800

= 10816

Hence,

• Value of 104² is 10816

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Some Identities :

» (a + b)² = a² + b² + 2ab

» (a - b)² = a² + b² - 2ab

» (a + b)(a - b) = a² - b²

» (a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ac

» a³ + b³ = (a + b)(a² + b² - ab)

» a³ - b³ = (a - b)(a² + b² + ab)