Subtract 3p(p - 4m+5n) from 4p(10n - 3m+2p)
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55pn-24pm-12p is the correct answer
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SOLUTION
TO DETERMINE
Subtract 3p(p - 4m+5n) from 4p(10n - 3m+2p)
EVALUATION
Here we have to Subtract
3p(p - 4m+5n) from 4p(10n - 3m+2p)
Here
3p(p - 4m+5n)
= 3p² - 12mp + 15np
Again
4p(10n - 3m+2p)
= 40np - 12mp + 8p²
Hence the required result
= 4p(10n - 3m+2p) - 3p(p - 4m+5n)
= ( 40np - 12mp + 8p² ) - ( 3p² - 12mp + 15np )
= 40np - 12mp + 8p² - 3p² + 12mp - 15np
= 5p² + 25np
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