Question

siplifique a fração 9X²+24XY+16Y²/ 9X²-16Y²

Answer 1

(x + y)² = x² + 2xy + y²  

(x + y) . (x - y) = x² - y²  

então  

9x² + 24xy + 16y = (3x + 4y)²  

9x² - 16y² = (3x + 4y) . (3x - 4y)  

logo  

(3x + 4y)² / (3x + 4y) . (3x - 4y) =  

(3x + 4y) . (3x + 4y) / (3x + 4) . (3x - 4)  

contando (3x + 4y) de cima com o de baixo fica  

(3x + 4y) / (3x - 4y)