What is expand (x^2-y^2)^3 ?

The solution to expand (x^2-y^2)^3 is x^6-3x^4y^2+3x^2y^4-y^6

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expand (x^2-y^2)^3

expand

(x^{2} - y^{2})^{3}

x^{6} - 3 x^{4} y^{2} + 3 x^{2} y^{4} - y^{6}

Solution steps

(x^{2} - y^{2})^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

(x^{2})^{3} - 3 (x^{2})^{2} y^{2} + 3 x^{2} (y^{2})^{2} - (y^{2})^{3} : x^{6} - 3 x^{4} y^{2} + 3 x^{2} y^{4} - y^{6}

= x^{6} - 3 x^{4} y^{2} + 3 x^{2} y^{4} - y^{6}

(X - 2)^{2}

- \frac{- 6}{2}

\frac{1}{4} \times 5

(4 - m)^{2}

\frac{36}{18}

What is expand (x^2-y^2)^3 ?
The solution to expand (x^2-y^2)^3 is x^6-3x^4y^2+3x^2y^4-y^6