Question

4. Simplify (p-2)(p+1)(p-4)​

Answer 1

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.