Question

Factorise (x - y )^2 - 3^2

Answer 1

Answer:

( x - y + 3 )( x - y - 3)

Step-by-step explanation:

( x - y )^2 - 3^2 is in the form of a^2 - b^2

a^2 - b^2 = ( a + b )( a - b )

so ( x - y )^2 - 3^2 = [ ( x - y ) + ( 3 ) ] [ ( x - y ) - ( 3 ) ]

                             = ( x - y + 3 )( x - y - 3)