Factorize each of the following expressions:
a³+3a²b³+3ab²+b³-8
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=a³ + 3a² b + 3a b² + b^³ = 8
={a³ + 2a² b + ab²} + { a² b + 2a b² + b²} = 8
=a{a² + 2ab + b²} + b{a² + 2ab + b²} = 8
= {a + b} {a² + 2ab + b²} = 8
= { a + b } { a² + ab + ab + b² } = 8
{ a + b } { a ( a + b ) + b ( a + b ) } = 8
= { ( a + b )( a + b )² } = 8
= ( a + b )³ = 8
∴ a + b = 2
THANKS.....
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