Factorize
[tex] {a}^{3} - a + {b}^{3} - b[/tex]
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Factorize
[tex] {a}^{3} - a + {b}^{3} - b[/tex]
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Step-by-step explanation:
a³ - b ³+1+3 ab
= ( a - b) ( a ²+ ab + b ² ) + 1 + 3 ab
= ( a - b) [ a ²+ b ² + ab ] + 1+ 3 ab
= ( a - b) { ( a-b² +6ab)+1
= ( a-b) ( a ² +4+ b ² +1 )
= ( a -b )( a ²+ b²+5)