What is expand (x^8-x^4)^3 ?

The solution to expand (x^8-x^4)^3 is x^{24}-3x^{20}+3x^{16}-x^{12}

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expand (x^8-x^4)^3

expand

(x^{8} - x^{4})^{3}

x^{24} - 3 x^{20} + 3 x^{16} - x^{12}

Solution steps

(x^{8} - x^{4})^{3}

Apply Perfect Cube Formula:

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

(x^{8} - x^{4})^{3} = (x^{8})^{3} - 3 (x^{8})^{2} x^{4} + 3 x^{8} (x^{4})^{2} - (x^{4})^{3}

= (x^{8})^{3} - 3 (x^{8})^{2} x^{4} + 3 x^{8} (x^{4})^{2} - (x^{4})^{3}

Simplify

(x^{8})^{3} - 3 (x^{8})^{2} x^{4} + 3 x^{8} (x^{4})^{2} - (x^{4})^{3} : x^{24} - 3 x^{20} + 3 x^{16} - x^{12}

= x^{24} - 3 x^{20} + 3 x^{16} - x^{12}

- 16 \cdot 9

(a - 10)^{2}

\frac{- 100}{- 10}

(a - 1) (a + 3)

(a - 1) (a - 1)

What is expand (x^8-x^4)^3 ?
The solution to expand (x^8-x^4)^3 is x^{24}-3x^{20}+3x^{16}-x^{12}