4. Simplify (p-2)(p+1)(p-4)
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To simplify :- ( p - 2 ) ( p + 1 ) ( p - 4 )
Solution :- First we will simplify First two terms than the third .
[ ( p - 2 ) ( p + 1 ) ] × ( p - 4 )
( p - 4 ) × [ p × ( p + 1 ) -2 × ( p + 1 ) ]
( p - 4 ) × [ p² + p - 2p - 2 ]
( p - 4 ) × [ p² - p - 2 ]
p × [ p² - p - 2 ] - 4 × [ p² - p - 2 ]
p³ - p² - 2p - 4p² + 4p + 8
p³ - 5p² + 2p + 8 .
Therefore, the required answer is p³-5p²+2p+8.
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