Question

simplify: 16x²+30xy+9y²+9x²/(5x+3y)(5x-3y)​

Answer 1

Answer:

1

Step-by-step explanation:

16x²+30xy+9y²+9x²/(5x+3y)(5x-3y)​

=16x²+9x²+30xy+9y²/(25x²+15xy+15xy+9y²)

=25x²+30xy+9y²/(25x²+30-9y²)

= 1

Answer 2

Answer:

(5x + 3y)/(5x - 3y)

Step-by-step explanation:

16x² + 30xy + 9y² + 9x²/(5x + 3y)(5x - 3y)

25x² + 30xy + 9y²/(5x + 3y)(5x - 3y)       [by adding the like terms i.e. 16x² + 9y²]

(5x + 3y)²/(5x + 3y)(5x - 3y)         [a² + 2ab + b² = (a + b)²]  

(5x + 3y)/(5x - 3y)