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

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

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expand (9x-7y)^3

expand

(9 x - 7 y)^{3}

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

Solution steps

(9 x - 7 y)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

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

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

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