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Remove the brackets and simplify: 2p(1+p+r)-3p(p-r-2)
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Posted by kavthuv on March 15, 2012 at 11:49 PM (Answer #1)
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You need to multiply each term of the sum `1+p+r` by `2p` and you need to multiply each term of the sum `p-r-2` by `3p` such that:
`2p(1 + p + r) = 2p*1 + 2p*p + 2p*r`
`2p(1 + p + r) = 2p + 2p^2 + 2pr`
`3p(p - r - 2) = 3p^2 - 3pr - 6p`
You need to subtract `3p^2 - 3pr - 6p` from `2p + 2p^2 + 2pr` such that:
`2p + 2p^2 + 2pr - (3p^2 - 3pr - 6p) = 2p + 2p^2 + 2pr - 3p^2+ 3pr+ 6p`
Collecting like terms yields:
`(2p^2 - 3p^2) + (2p + 6p) + (2pr + 3pr) = -p^2 + 8p + 5pr`
Hence,performing the simplification yields `2p(1 + p + r) - 3p(p - r - 2) = -p^2 + 8p + 5pr.`
Posted by sciencesolve on March 15, 2012 at 11:46 PM (Answer #2)
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