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May I please get the full solution of this question number 16. It's urgent!

May I please get the full solution of this question number 16. It's urgent!

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Grade:11

1 Answers

Aditya Gupta
2081 Points
5 years ago
put x^2=y. so the expression now becomes
[y+1]/[(y+2)(2y+1)]
as the degree of the numerator is less than the denminator, we know that this can be broken into partial fractions as follows:
[y+1]/[(y+2)(2y+1)]= A/(y+2)+B/(2y+1)
to find the value of A and B, cross multiply and put y= – 2 and  – ½ successively. so we obtain A=B=1/3
so, replacing y with x^2, we have [x^2+1]/[(x^2+2)(2x^2+1)]=  1/3(x^2+2)+1/3(2x^2+1)
so option B is correct

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