Question

find the suitable identity of 95 into note 105​

Answer 1

Here , we have 95 × 105 !!

95 = 100 - 5

105 = 100 + 5

Hence , 95 x 105 = (100 - 5 )(100+5)

It is in the form of (a+b)(a-b) = a²- b²

$\implies \mathtt{(100 + 5)(100 - 5)} \\ \implies \mathtt{ {100}^{2} - {5}^{2} } \\ \implies \mathtt{10000 - 25} \\ \implies \mathtt{9975}$

Thereby , we have solved using appropriate identity !

______________________

Identities :

Identity I: (a + b)²= a² + 2ab + b²

Identity II: (a – b)²= a²– 2ab + b²

Identity III: a² – b²= (a + b)(a – b)

Identity IV: (x + a)(x + b) = x² + (a + b) x + ab

Identity V: (a + b + c)²= a² + b² + c² + 2ab + 2bc + 2ca

Identity VI: (a + b)³ = a³+ b³ + 3ab (a + b)

Identity VII: (a – b)³ = a³– b³ – 3ab (a – b)

Identity VIII: a³+ b³ + c³– 3abc = (a + b + c)(a² + b² + c²– ab – bc – ca)

The above might help you while solving problems !!