What is expand (7x-4y)^3 ?

The solution to expand (7x-4y)^3 is 343x^3-588x^2y+336xy^2-64y^3

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expand (7x-4y)^3

expand

(7 x - 4 y)^{3}

343 x^{3} - 588 x^{2} y + 336 x y^{2} - 64 y^{3}

Solution steps

(7 x - 4 y)^{3}

Apply Perfect Cube Formula:

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

(7 x - 4 y)^{3} = (7 x)^{3} - 3 (7 x)^{2} \cdot 4 y + 3 \cdot 7 x (4 y)^{2} - (4 y)^{3}

= (7 x)^{3} - 3 (7 x)^{2} \cdot 4 y + 3 \cdot 7 x (4 y)^{2} - (4 y)^{3}

Simplify

(7 x)^{3} - 3 (7 x)^{2} \cdot 4 y + 3 \cdot 7 x (4 y)^{2} - (4 y)^{3} : 343 x^{3} - 588 x^{2} y + 336 x y^{2} - 64 y^{3}

= 343 x^{3} - 588 x^{2} y + 336 x y^{2} - 64 y^{3}

\frac{3}{3 ^{x}}

(a - 10)^{3}

\frac{25638350}{- p ^{23945177}}

4 x + 6 y

p^{1} + p^{2} + p^{3}

What is expand (7x-4y)^3 ?
The solution to expand (7x-4y)^3 is 343x^3-588x^2y+336xy^2-64y^3