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What are the factors of the following expression ?
a2 + 1 − 3a + 13 + 34 : a2 a
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a − 1 + 4 
a − 1 − 9 a a -
a − 1 − 4 a − 1 + 9 a a -
a + 1 − 4 a − 1 + 9 a a -
a + 1 − 4 a + 1 + 9 a a
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Correct Option: B
| a2 + | − 13 | | a − | | + 34 | ||
| a2 | a |
| = | | a − | | 2 | + 2 − 3 | | a − | | + 34 | ||
| a | a |
| = | | a − | | 2 | − 13 | | a − | | + 36 | ||
| a | a |
| Let | | a − | | = x | |
| a |
∴ Expression = x2 – 13x + 36
= x2 – 9x – 4x + 36 = x (x – 9) – 4 (x – 9)
= (x – 4) (x – 9)
| = | | a − | − 4 | | | a − | − 9 | | ||
| a | a |
