Question

What is the simplified form of 9x^2-25/3x+5

Answer 1

9x^2-25/3x+5

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

=3x-5

Hope that helped :)

Answer 2

ANSWER


`3x-5` ,
`x\\e -(5)/(3)`


Step-by-step explanation

We want to simplify


`\frac{9 {x}^(2) - 25}{3x + 5}`

We rewrite the numerator as difference of two squares.


`\frac{(3 {x})^(2) - {5}^(2) }{3x + 5}`

Factor the numerator using difference of two squares.


`{a}^(2) - {b}^(2) = (a + b)(a - b)`

This implies that:


`\frac{(3 {x})^(2) - {5}^(2) }{3x + 5} = \frac{(3 {x} + 5) (3x - 5)}{3x + 5}`

We cancel the common factors to get,


`= 3x - 5`


For


`x\\e -(5)/(3)`