What is expand (1/6 x^2+5/6)^3 ?

The solution to expand (1/6 x^2+5/6)^3 is (x^6+125+15x^4+75x^2)/(216)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (1/6 x^2+5/6)^3

expand

(\frac{1}{6} x^{2} + \frac{5}{6})^{3}

\frac{x ^{6} + 125 + 15 x ^{4} + 75 x ^{2}}{216}

Solution steps

(\frac{1}{6} x^{2} + \frac{5}{6})^{3}

Apply Perfect Cube Formula:

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

(\frac{1}{6} x^{2} + \frac{5}{6})^{3} = (\frac{1}{6} x^{2})^{3} + 3 (\frac{1}{6} x^{2})^{2} \frac{5}{6} + 3 \cdot \frac{1}{6} x^{2} (\frac{5}{6})^{2} + (\frac{5}{6})^{3}

= (\frac{1}{6} x^{2})^{3} + 3 (\frac{1}{6} x^{2})^{2} \frac{5}{6} + 3 \cdot \frac{1}{6} x^{2} (\frac{5}{6})^{2} + (\frac{5}{6})^{3}

Simplify

(\frac{1}{6} x^{2})^{3} + 3 (\frac{1}{6} x^{2})^{2} \frac{5}{6} + 3 \cdot \frac{1}{6} x^{2} (\frac{5}{6})^{2} + (\frac{5}{6})^{3} : \frac{x ^{6} + 125 + 15 x ^{4} + 75 x ^{2}}{216}

= \frac{x ^{6} + 125 + 15 x ^{4} + 75 x ^{2}}{216}

1 - cos (b) (1 + cos (b))

(x^{2} + 6) (7 - x)

\frac{4 x - 3}{4 ( x - 3 )}

(2 d - 3 e + 2)^{2}

What is expand (1/6 x^2+5/6)^3 ?
The solution to expand (1/6 x^2+5/6)^3 is (x^6+125+15x^4+75x^2)/(216)