Question

(x+\(\dfrac{1}{3}\))³

(2x+y²)³

(\(\dfrac{1}{2}\)x²+\(\dfrac{1}{3}\)y)³

Answer 1

\(\left(x+\dfrac{1}{3}\right)^3=x^3+x^2+\dfrac{1}{3}x+\dfrac{1}{27}\)

\(\left(2x+y^2\right)^3=8x^3+12x^2y^2+6xy^4+y^6\)

\(\left(\dfrac{1}{2}x^2+\dfrac{1}{3}y\right)^3=\dfrac{1}{8}x^6+\dfrac{1}{4}x^4y+\dfrac{1}{6}x^2y^2+y^3\)

Answer 2

\(\left(x+\dfrac{1}{3}\right)^3=x^3+x^2+\dfrac{1}{3}x+\dfrac{1}{27}\)

\(\left(2x+y^2\right)^3=8x^3+12x^2y^2+6xy^4+y^6\)

\(\left(\dfrac{1}{2}x^2+\dfrac{1}{2}y\right)^3=\dfrac{1}{8}x^6+\dfrac{3}{8}x^4y+\dfrac{3}{8}x^2y^2+\dfrac{1}{8}y^3\)