Question

(a³-b³)
(a-b)³
please give the formulae​

Answer 1

• As per the given data, we have to give a formula for the given expression.

       Given data:- $(a^{3} -b^{3} )$ and$(a-b^{3} )$.

       To find :- Formula for above expression.

       Solution:-

• We know that  $(a^{3} -b^{3} ) = (a-b)(a^{2} +ab+b^{2} )$. this formula produces an imperfect square of the sum.
• similarly,  $(a-b)^{3} =a^{3}-b^{3} -3ab(a-b)$.

• $(a-b)^{3}=a^{3} -b^{3} -3ab(a-b)$ is a binomial formula.