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Popular >

expand (x-2a)^3

Solution

expand

(x - 2 a)^{3}

Solution

x^{3} - 6 a x^{2} + 12 x a^{2} - 8 a^{3}

Solution steps

(x - 2 a)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

x^{3} - 3 x^{2} \cdot 2 a + 3 x (2 a)^{2} - (2 a)^{3} : x^{3} - 6 a x^{2} + 12 x a^{2} - 8 a^{3}

= x^{3} - 6 a x^{2} + 12 x a^{2} - 8 a^{3}

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Frequently Asked Questions (FAQ)

What is expand (x-2a)^3 ?
The solution to expand (x-2a)^3 is x^3-6ax^2+12xa^2-8a^3