Question

What is Expansion of $(x-y{)}^3$?

• A. $x^3-y^3+3xy(x-y)$
• B. $x^3+y^3-3xy(x+y)$
• C. $x^3-y^3-3xy(x-y)$
• D. $x^3+y^3+3xy(x+y)$

Answer 1

The correct option is C $x^3-y^3-3xy(x-y)$

$(x-y{)}^3=x^3-y^3-3x^{2}y+3x{y}^2$

$(x-y{)}^3=x^3-y^3-3xy(x-y)$

[Taking -3xy as common from last two terms]