Answer the following questions related to special product identities of binomials.

MATHEMATICS · Multi-part · A Level · Mathematics · Sequences and series · Sequences and series

Problem

Answer the following questions related to special product identities of binomials. (i) State the general identity for

(x+y)^3

. (ii) Describe how the identity for

(x-y)^3

differs from that of

(x+y)^3

with special reference to the signs of the middle terms. (iii) Verify your explanation in part (ii) by substituting

x=2

and

y=1

in both identities and simplifying the numerical results.