Answer:

(9x+ 5y + 19)²

Step-by-step explanation:

9( x + 1)² + 90 (x+1) (y + 2) + 5(y+2)²

(9x + 9)² + 2×9(x + 1)× 5 (y+2) + (5y + 10)²

{(9x+9) +( 5y +10)}²

(9x + 5y+ 19)²

(9x + 5y+ 19) (9x + 5y+ 19)