Question

1/a^2-3a+2 + 1/a^2-5a+6 + 2/a^2-8a+15

Answer 1

`(4+16a^3+23a^3)/(a^2)`

Explanation:

Given

`1/a^2-3a+2 + 1/a^2-5a+6 + 2/a^2-8a+15`

Required

Simplify

`1/a^2-3a+2 + 1/a^2-5a+6 + 2/a^2-8a+15`

Collect Like Terms

`1/a^2 + 1/a^2 + 2/a^2-3a-5a-8a+2+6+15`

`1/a^2 + 1/a^2 + 2/a^2-16a+23`

Add Fractions:

`(1+1+2)/(a^2) + 16a + 23`

`(4)/(a^2) + 16a + 23`

This can be further expressed as:

`(4+16a^3+23a^3)/(a^2)`