(A+b)^3 explain step by step
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(a + b)³ = ( a + b)(a + b)( a + b)
={a(a + b) + b( a + b) }( a + b)
={ a² + 2ab + b²}( a + b)
= a{ a² +2ab + b²} + b{a² +2ab +b²}
=a³ +2a²b +ab² + ba² +2ab² +b³
=a³ +3a²b +3ab2 +b³
={a(a + b) + b( a + b) }( a + b)
={ a² + 2ab + b²}( a + b)
= a{ a² +2ab + b²} + b{a² +2ab +b²}
=a³ +2a²b +ab² + ba² +2ab² +b³
=a³ +3a²b +3ab2 +b³
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