What is expand (a^2-b^2)^3 ?

The solution to expand (a^2-b^2)^3 is a^6-3a^4b^2+3a^2b^4-b^6

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expand (a^2-b^2)^3

expand

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

a^{6} - 3 a^{4} b^{2} + 3 a^{2} b^{4} - b^{6}

Solution steps

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

Apply Perfect Cube Formula:

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

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

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

Simplify

(a^{2})^{3} - 3 (a^{2})^{2} b^{2} + 3 a^{2} (b^{2})^{2} - (b^{2})^{3} : a^{6} - 3 a^{4} b^{2} + 3 a^{2} b^{4} - b^{6}

= a^{6} - 3 a^{4} b^{2} + 3 a^{2} b^{4} - b^{6}

\frac{\frac{9}{b ^{2} - b - 12}}{\frac{b - 5}{b ^{2} - b - 12}}

4^{- 2^{- 1}}

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

43 - 627

(- 3)^{9}

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