What is the difference when 5p³-p²+2p is subtracted by 4p³-p²+8p?
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Answer:
p (p²-6)
Step-by-step explanation:
factor the expression
(5p³ - p² + 2p) - (4p³ - p² + 8p)
rewrite the expression
(p (5p² - p + 2) ) - p (4p² - p + 8)
factor the expression
p (5p² - p + 2) - p (4p² - p + 8)
remove the parentheses
p (5p² - p + 2 - (4p² - p + 8) )
remove the opposites
p (5p² - p + 2 - 4p² + p - 8)
calculate
p (p² - 6)
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