What is expand (x^2-7x)^3 ?

The solution to expand (x^2-7x)^3 is x^6-21x^5+147x^4-343x^3

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expand (x^2-7x)^3

expand

(x^{2} - 7 x)^{3}

x^{6} - 21 x^{5} + 147 x^{4} - 343 x^{3}

Solution steps

(x^{2} - 7 x)^{3}

Apply Perfect Cube Formula:

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

(x^{2} - 7 x)^{3} = (x^{2})^{3} - 3 (x^{2})^{2} \cdot 7 x + 3 x^{2} (7 x)^{2} - (7 x)^{3}

= (x^{2})^{3} - 3 (x^{2})^{2} \cdot 7 x + 3 x^{2} (7 x)^{2} - (7 x)^{3}

Simplify

(x^{2})^{3} - 3 (x^{2})^{2} \cdot 7 x + 3 x^{2} (7 x)^{2} - (7 x)^{3} : x^{6} - 21 x^{5} + 147 x^{4} - 343 x^{3}

= x^{6} - 21 x^{5} + 147 x^{4} - 343 x^{3}

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

(\frac{a + 1}{a})^{3}

(5 a + 3 b)^{3} - (5 a - 3 b)^{3}

(\frac{1}{4} \cdot x + \frac{2}{7} \cdot y)^{3}

x^{2} - x - y^{2} - y

What is expand (x^2-7x)^3 ?
The solution to expand (x^2-7x)^3 is x^6-21x^5+147x^4-343x^3