Question

(x+y)(x-y)=
(Algebraic Formulae - Expansion of Squares)

Answer 1

Answer:

x^2 - y^2

Step-by-step explanation:

Answer 2

Answer :-

Formula to know :-

( x + y) ( x -y ) = x² -y²

Proof :-

(x + y) ( x -y ) =

x ( x -y ) + y ( x -y )

x² - xy + xy - y²

x² $+ \not{xy} - \not{xy}$-y²

x² - y²

Proved !

So, the (x+y)(x-y) = x² - y²

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Know more :-

( x + y)² = x² + y² + 2xy

(x -y)² = x² + y² -2xy

( x + y)² + ( x-y)² = 2x² + 2y²

( x +y)² - 2xy = x² + y²

(x+y)² - 4xy = (x-y)²

( x+ y)³ = x³ + y³ +3xy ( x + y)

(x - y )³ = x³ - y³ -3xy ( x -y )

( x + y + z)² = x² + y² + 2xy + 2yz + 2zx

x + y + z = 0 then x³ + y³ + z³ = 0