Question

Solve : (x+3)(x-3) using Identity

Answer 1

given :- (x + 3)(x - 3)

by using identity (a + b)(a - b) = a² - b²

= (x)² - (3)²

= x² - 9

Answer 2

(x+3) ( x-3) = x² - 9

Given the equation,

   (x+3) (x-3)

we can use the identity,

( a + b ) ( a - b ) = a² - b²

Consider,

LHS = (a + b) (a - b)

By distributive property, we get

= a² + ba - ab - b²

= a² - b²          

RHS = a² - b²

Therefore,  LHS = RHS

Thus, we can use the identity for the given equation.

Thus we get,

(x+3)(x-3)  ⇒  (x²) - (3²)

                ⇒ x² - 9

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