Question

prove that =(a+b)^3=a^3+b^3+3a^2b +3ab^2​

Answer 1

To prove:-

(a+b)³=a³+b³+3a²b+3ab²

Solution:-

(a+b)³

=>(a+b)(a+b)(a+b)

=>(a+b)(a+b)²

=>(a+b)(a²+b²+2ab)

=>a²(a+b)+b²(a+b)+2ab(a+b)

=>a³+a²b+ab²+b³+2a²b+2ab²

=>a³+b³+a²b+2a²b+ab²+2ab²

=>a³+b³+3a²b+3ab²

Hence,proved

Answer 2

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