1.

Please please tell the answer​

Answer»

Step-by-step explanation:

(a+b)³=a³+3ab+3ab²+b³

Step-by-step explanation:

LHS=(a+b)^{3}

=(a+b)(a+b)^{2}

=(a+b)(a^{2}+2ab+b^{2})

/* By algebraic IDENTITY:

\boxed {(x+y)^{2}=x^{2}+2xy+y^{2}}*/

=a(a^{2}+2ab+b^{2})+b(a^{2}+2ab+b^{2})

= a^{3}+2a^{2}b+AB^{2}+a^{2}b+2ab^{2}+b^{3}

=a^{3}+(2+1)a^{2}b+(1+2)ab^{2}+b^{3}

= a^{3}+3A^{2}b+3ab^{2}+b^{3}

=$RHS$

Therefore,

(a+b)³=a³+3ab+3ab²+b³

thank you

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