A cube-1 by a cube-2a+2 by a
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Hi ,
a³ - 1/a³ - 2a + 2/a
= ( a³ - 1/a³ ) - 2( a - 1/a )
= ( a - 1/a ) [ a² + 1 + 1/a² ] - 2( a - 1/a )
= ( a - 1/a ) [ a² + 1/a² + 1 - 2 ]
= ( a - 1/a ) [ ( a² + 1/a² - 1 )
Or
( a³ - 1/a³ ) - 2( a - 1/a )
= ( a - 1/a )³ + 3( a - 1/a ) - 2( a - 1/a )
= ( a - 1/ a )³ + ( a - 1/a )
= ( a - 1/a )[ ( a - 1/a )² + 1 ]
I hope this helps you.
: )
= ( a - 1/a ) [ a² + 1/a² -2 + 1 ]
= ( a - 1/a ) ( a² + 1/a² - 1 )
a³ - 1/a³ - 2a + 2/a
= ( a³ - 1/a³ ) - 2( a - 1/a )
= ( a - 1/a ) [ a² + 1 + 1/a² ] - 2( a - 1/a )
= ( a - 1/a ) [ a² + 1/a² + 1 - 2 ]
= ( a - 1/a ) [ ( a² + 1/a² - 1 )
Or
( a³ - 1/a³ ) - 2( a - 1/a )
= ( a - 1/a )³ + 3( a - 1/a ) - 2( a - 1/a )
= ( a - 1/ a )³ + ( a - 1/a )
= ( a - 1/a )[ ( a - 1/a )² + 1 ]
I hope this helps you.
: )
= ( a - 1/a ) [ a² + 1/a² -2 + 1 ]
= ( a - 1/a ) ( a² + 1/a² - 1 )
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