What is expand (3x-7y)^3 ?

The solution to expand (3x-7y)^3 is 27x^3-189x^2y+441xy^2-343y^3

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expand (3x-7y)^3

expand

(3 x - 7 y)^{3}

27 x^{3} - 189 x^{2} y + 441 x y^{2} - 343 y^{3}

Solution steps

(3 x - 7 y)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

(3 x)^{3} - 3 (3 x)^{2} \cdot 7 y + 3 \cdot 3 x (7 y)^{2} - (7 y)^{3} : 27 x^{3} - 189 x^{2} y + 441 x y^{2} - 343 y^{3}

= 27 x^{3} - 189 x^{2} y + 441 x y^{2} - 343 y^{3}

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

y^{2} \cdot y^{- 5}

2 \frac{4}{6} - \frac{7}{6}

\frac{12 x}{3 x}

\frac{- 2 a ^{5}}{3 ( a ^{- 5} ) ^{4}}

What is expand (3x-7y)^3 ?
The solution to expand (3x-7y)^3 is 27x^3-189x^2y+441xy^2-343y^3