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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?

Sagot :

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 = [tex]\frac{15 x^3 + 25x^2 +5x+2}{({5x^2+1})^2}[/tex]

on  expanding [tex]{({5x^2+1})^2 = 25x^4 +1 + 10x^2[/tex]

⇒ y = [tex]\frac{15 x^3 + 25x^2 +5x+2}{25x^4 +1 + 10x^2}[/tex]  

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

Answer:

Option-B

Step-by-step explanation:

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