Question

expand the following
(X+2/5y)³​

Answer 1

Answer:

X^3-8-6x^2+12x/125y^3

Answer 2

Step-by-step explanation:

To expand this, we will have to use an identity i.e (a+b)³ = a³ + b³ + 3ab(a+b)

Let, a be x and b be 2y/5

Now, just put the values in the given identity.

→ (a+b)³ = a³ + b³ + 3ab(a+b)

→ (x+2y/5)³ = x³ + (2y/5)³ + 3x(2y/5) (x+2y/5)

→ (x+2y/5)³ = x³ + 8y³/125 + 6xy/5(x+2y/5)

→ (x+2y/5)³ = x³ + 8y³/125 + 6x²y/5 + 12xy²/25

Therefore, the expanded form of (x+2y/5)³ is equal to → x³ + 8y³/125 + 6x²y/5 + 12xy²/25