Question

Simplify the expression $(1+a{)}^3$, using the suitable property.

• A. 1 + $a^3$ + $2a$ + $2a^2$
• B. 1 + $a^3$ + $3a$ + $3a^2$
• C. 4 + $a^3$ + $6a$ + $6a^2$
• D. none of the above

Answer 1

The correct option is B 1 + $a^3$ + $3a$ + $3a^2$

We can see that the given polynomial is of the form - $(x+y{)}^3$.

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

By simplifying we get-

$(1+a{)}^3$ = 1 + $a^3$ + $3a$ + $3a^2$