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Popular >

expand (1-xy)^3

Solution

expand

(1 - x y)^{3}

Solution

1 - 3 x y + 3 x^{2} y^{2} - x^{3} y^{3}

Solution steps

(1 - x y)^{3}

Apply Perfect Cube Formula:

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

(1 - x y)^{3} = 1^{3} - 3 \cdot 1^{2} x y + 3 \cdot 1 \cdot (x y)^{2} - (x y)^{3}

= 1^{3} - 3 \cdot 1^{2} x y + 3 \cdot 1 \cdot (x y)^{2} - (x y)^{3}

Simplify

1^{3} - 3 \cdot 1^{2} x y + 3 \cdot 1 \cdot (x y)^{2} - (x y)^{3} : 1 - 3 x y + 3 x^{2} y^{2} - x^{3} y^{3}

= 1 - 3 x y + 3 x^{2} y^{2} - x^{3} y^{3}

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Frequently Asked Questions (FAQ)

What is expand (1-xy)^3 ?
The solution to expand (1-xy)^3 is 1-3xy+3x^2y^2-x^3y^3