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Popular >

expand (3x-y)^3

Solution

expand

(3 x - y)^{3}

Solution

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

Solution steps

(3 x - y)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

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

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

Popular Examples

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- y + y

Frequently Asked Questions (FAQ)

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