Question

Answer 1

a) 3xy - 3y^2

= 3y ( x - y )

b) x^2 - y^2 - 6x + 9

= ( x^2 - 6x + 3^2 ) - y^2

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

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

Answer 2

 

a) 3xy - 3y^2

= 3y ( x - y )

b) x^2 - y^2 - 6x + 9

= ( x^2 - 6x + 3^2 ) - y^2

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

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

Answer 3

a) \(3xy-3y^2=3y\left(x-y\right)\)

b) \(x^2-y^2-6x+9\)

\(=\left(x^2-6x+9\right)-y^2\)

\(=\left(x-3\right)^2-y^2\)

\(=\left(x+y-3\right)\left(x-y-3\right)\)