1.

Simplify the given expression(5+√7)(5-√7) with slove​

Answer»

Given:-

The given EXPRESSION (5+√7)(5-√7)

To SIMPLIFY :-

Formulae to know :-

( a + b ) ( a - b ) = a² - b²

lets simplify

As we know above formula by using the above formulae we can solve

= 5 + \sf\sqrt{7} × 5 - \sf\sqrt{7}

Applying above formulae

(a + b ) ( a - b ) = a² - b²

= (5)² - \sf\sqrt{(7)^2}

= 25 - 7

= 18

So,

5 + \sf\sqrt{7} × 5 - \sf\sqrt{7} = 18

Know more :-

(a+ b)² = a² + b² + 2ab

( a - b )² = a² + b² - 2ab

( a + b )² + ( a - b)² = 2a² + 2b²

( a + b )² - ( a - b)² = 4ab

( a + b + C )² = a² + b² + c² + 2ab + 2bc + 2ca

a² + b² = ( a + b)² - 2ab

(a + b )³ = a³ + b³ + 3ab ( a + b)

( a - b)³ = a³ - b³ - 3ab ( a - b)

If a + b + c = 0 then a³ + b³ + c³ = 3abc


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