What is expand (6/7-x)^3 ?

The solution to expand (6/7-x)^3 is (216+882x^2-756x-343x^3)/(343)

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expand (6/7-x)^3

expand

(\frac{6}{7} - x)^{3}

\frac{216 + 882 x ^{2} - 756 x - 343 x ^{3}}{343}

Solution steps

(\frac{6}{7} - x)^{3}

Apply Perfect Cube Formula:

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

(\frac{6}{7} - x)^{3} = (\frac{6}{7})^{3} - 3 (\frac{6}{7})^{2} x + 3 \cdot \frac{6}{7} x^{2} - x^{3}

= (\frac{6}{7})^{3} - 3 (\frac{6}{7})^{2} x + 3 \cdot \frac{6}{7} x^{2} - x^{3}

Simplify

(\frac{6}{7})^{3} - 3 (\frac{6}{7})^{2} x + 3 \cdot \frac{6}{7} x^{2} - x^{3} : \frac{216 + 882 x ^{2} - 756 x - 343 x ^{3}}{343}

= \frac{216 + 882 x ^{2} - 756 x - 343 x ^{3}}{343}

\frac{( s + 1 )}{s ^{2} ( s + 2 ) ^{3}}

(x + 2 y - 4) d x - (2 x + y - 5) d y

x (3 x y - 4 y^{3} + 6) d x + (x^{3} - 6 x^{2} y^{2} - 1) d y

(tan (φ) - 1)^{2}

\frac{e ^{- 5 s}}{( s - 2 ) ^{4}}

What is expand (6/7-x)^3 ?
The solution to expand (6/7-x)^3 is (216+882x^2-756x-343x^3)/(343)