Question

Expanded form.of (x+1/3)^3 is ?

Answer 1

Step-by-step explanation:

x^3+1/27+x/3+x^2 is ans

Answer 2

Concept Introduction: Factorisation is the basic concept of Mathematics.

Given:

We have been Given:

${(x + \frac{1}{3}) }^{3}$

To Find:

We have to Find: Expanded form of the equation.

Solution:

According to the problem, we know,

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

Therefore, using this formula we get the expanded form as,

${(x + \frac{1}{3}) }^{3} = {x}^{3} + {y}^{3} + 3 \times {x}^{2} \times \frac{1}{3} + 3 \times x \times {( \frac{1}{3} )}^{2} \\ {(x + \frac{1}{3} )}^{3} = {x}^{3} + {y}^{3} + {x}^{2} + \frac{x}{3}$

Final Answer: The Expanded form of the equation is,

${(x + \frac{1}{3}) }^{3} = {x}^{3} + {y}^{3} + {x}^{2} + \frac{x}{3}$

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