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Popular >

expand (x-3y)^3

Solution

expand

(x - 3 y)^{3}

Solution

x^{3} - 9 x^{2} y + 27 x y^{2} - 27 y^{3}

Solution steps

(x - 3 y)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

x^{3} - 3 x^{2} \cdot 3 y + 3 x (3 y)^{2} - (3 y)^{3} : x^{3} - 9 x^{2} y + 27 x y^{2} - 27 y^{3}

= x^{3} - 9 x^{2} y + 27 x y^{2} - 27 y^{3}

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Frequently Asked Questions (FAQ)

What is expand (x-3y)^3 ?
The solution to expand (x-3y)^3 is x^3-9x^2y+27xy^2-27y^3