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Question
Add the following expressions:
`5/8p^4 + 2p^2 + 5/8; 1/8 - 17p + 9/8p^2` and `p^5 - p^3 + 7`
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Solution
We have, `(5/8p^4 + 2p^2 + 5/8) + (1/8 - 17p + 9/8p^2) + (p^5 - p^3 + 7)`
= `5/8p^4 + 2p^2 + 5/8 + 1/8 - 17p + 9/8p^2 + p^5 - p^3 + 7`
On combining the like terms,
= `p^5 + 5/8p^4 - p^3 + (2 + 9/8)p^2 - 17p + (5/8 + 1/8 + 7)`
= `p^5 + 5/8p^4 - p^3 + ((16 + 9)/8)p^2 - 17p + ((5 + 1 + 56)/8)`
= `p^5 + 5/8p^4 - p^3 + 25/8p^2 - 17p + 62/8`
= `p^5 + 5/8p^4 - p^3 + 25/8p^2 - 17p + 31/4`
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