Answer:

x² + 5x + 5y-y²

x² - y² + 5x + 5y

(x+y)(x-y) +5x + 5y [ by the identity x² - y²=(x+y)(x-y) ]

(x+y)(x-y) +5(x + y)

(x+y)(x-y+5)

Factorized from of x² + 5x + 5y-y² is (x+y)(x-y+5).

hope this will help you

Step-by-step explanation:

x^2 + 5x + 5y - y^2

= x^2 - y^2 + 5x + 5y

( x+y) ( x-y) + 5 ( x+y )

( x+y) ( x-y+ 5)

hope it helps you