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

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

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expand (7x-3y)^3

expand

(7 x - 3 y)^{3}

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

Solution steps

(7 x - 3 y)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

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

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

x^{3} - 3 x - 4 x - 12

x^{3} \cdot y^{- 2}

x^{2} - 1 + 2 a - a^{2}

∣ x ∣^{2} + 7 ∣ x ∣ + 12

x^{3} - x - 24

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