What is expand (7x-9y)^3 ?

The solution to expand (7x-9y)^3 is 343x^3-1323x^2y+1701xy^2-729y^3

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expand (7x-9y)^3

expand

(7 x - 9 y)^{3}

343 x^{3} - 1323 x^{2} y + 1701 x y^{2} - 729 y^{3}

Solution steps

(7 x - 9 y)^{3}

Apply Perfect Cube Formula:

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

(7 x - 9 y)^{3} = (7 x)^{3} - 3 (7 x)^{2} \cdot 9 y + 3 \cdot 7 x (9 y)^{2} - (9 y)^{3}

= (7 x)^{3} - 3 (7 x)^{2} \cdot 9 y + 3 \cdot 7 x (9 y)^{2} - (9 y)^{3}

Simplify

(7 x)^{3} - 3 (7 x)^{2} \cdot 9 y + 3 \cdot 7 x (9 y)^{2} - (9 y)^{3} : 343 x^{3} - 1323 x^{2} y + 1701 x y^{2} - 729 y^{3}

= 343 x^{3} - 1323 x^{2} y + 1701 x y^{2} - 729 y^{3}

x + y + m + m + 2 y

[5 (p^{2} + q^{2})^{\frac{1}{2}}]^{2}

2 x^{3} - x^{2} - 5 x - 2

x (a)^{- 1} + 3 x (a)^{- 2}

(2 x - 5 y + 3)^{2}

What is expand (7x-9y)^3 ?
The solution to expand (7x-9y)^3 is 343x^3-1323x^2y+1701xy^2-729y^3