P3+1/8p3=?if 2p+1/p=4
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Step-by-step explanation:
p + 1/2p = 4 ---( 1 )
*********************
We know the algebraic identity
x³ + y³ = ( x + y )³ - 3xy( x + y )
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Now ,
p³ + ( 1/2p )³
= p³ + 1/8p³
= ( p + 1/2p )³ - 3 × p × 1/2p( p + 1/2p )
= 4³ - 3 × 1/2 × 4
= 64 - 6
= 58
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