Question

Multiply: (a+b),(a+b) and (a+b)​

Answer 1

Answer:

Here,

$(a + b) [(a + b)(a + b)]$

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

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

${a}^{3} + {2a}^{2} b + {ab}^{2} + {a}^{2} b + {2ab}^{2} + {b}^{3}$

${a}^{3} + 3 {a}^{2} b + {3ab}^{2} + {b}^{3}$

Thus,$(a+b)^3=a^3+3a^2b+3ab^2+b^3$

Thus, in case of multiplication of a binomial or a trinomial by a binomial or a trinomial each term of the binomial or the trinomial should multiply each term of the given binomial or the trinomial and if needed, simplification should be performed.