What is expand (1+x/4)^3 ?

The solution to expand (1+x/4)^3 is (64+48x+x^3+12x^2)/(64)

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expand (1+x/4)^3

expand

(1 + \frac{x}{4})^{3}

\frac{64 + 48 x + x ^{3} + 12 x ^{2}}{64}

Solution steps

(1 + \frac{x}{4})^{3}

Apply Perfect Cube Formula:

(a + b)^{3} = a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3}

(1 + \frac{x}{4})^{3} = 1^{3} + 3 \cdot 1^{2} \cdot \frac{x}{4} + 3 \cdot 1 \cdot (\frac{x}{4})^{2} + (\frac{x}{4})^{3}

= 1^{3} + 3 \cdot 1^{2} \cdot \frac{x}{4} + 3 \cdot 1 \cdot (\frac{x}{4})^{2} + (\frac{x}{4})^{3}

Simplify

1^{3} + 3 \cdot 1^{2} \cdot \frac{x}{4} + 3 \cdot 1 \cdot (\frac{x}{4})^{2} + (\frac{x}{4})^{3} : \frac{64 + 48 x + x ^{3} + 12 x ^{2}}{64}

= \frac{64 + 48 x + x ^{3} + 12 x ^{2}}{64}

\frac{50 ( 1 + 0.5 t )}{2 + 0.01 t}

(27 x^{5} + \frac{1}{3 x})^{12}

(x e^{x} + e^{x})^{2}

(10 - 2)^{2}

x^{5} - 10 + 3 (2 x^{0.2}) 3 x - 1 + 6

What is expand (1+x/4)^3 ?
The solution to expand (1+x/4)^3 is (64+48x+x^3+12x^2)/(64)