Question

The value of $(x+2y{)}^3$ is _______.

• A. $x^3+8(y{)}^3+6x^{2}y+12x{y}^2$
• B. $x^3-8(y{)}^3+6x^{2}y-12x{y}^2$
• C. $x^3+8(y{)}^4+6x^{2}y+17x{y}^2$
• D. $(2x{)}^3+8(y{)}^3+6x^{2}y+12x{y}^2$

Answer 1

The correct option is A

$x^3+8(y{)}^3+6x^{2}y+12x{y}^2$

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

Use the formula : $(a+b{)}^3$ = $a^3+b^3+3a^{2}b+3a{b}^2$

Here, a = x and b = 2y

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

= $x^3+8(y{)}^3+6x^{2}y+12x{y}^2$