Question

For the expression StartFraction 15 x cubed + 25 x squared + 5 x + 2 Over (5 x squared + 1) squared EndFraction, which sum represents the correct form of the partial fraction decomposition?

Answer 1

Answer:

Option-B

Step-by-step explanation:

edge

Answer 2

Answer:

StartFraction 15 x cubed + 25 x squared + 5 x + 2 Over (5 x squared + 1) squared EndFraction, can be written in mathematical form as

Let y = $\frac{15 x^3 + 25x^2 +5x+2}{({5x^2+1})^2}$

on  expanding ${({5x^2+1})^2 = 25x^4 +1 + 10x^2$

⇒ y = $\frac{15 x^3 + 25x^2 +5x+2}{25x^4 +1 + 10x^2}$  

there correct form of partial fraction is $\frac{15 x^3 + 25x^2 +5x+2}{25x^4 +1 + 10x^2}$