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Popular >

expand (6x-3)^3

Solution

expand

(6 x - 3)^{3}

Solution

216 x^{3} - 324 x^{2} + 162 x - 27

Solution steps

(6 x - 3)^{3}

Apply Perfect Cube Formula:

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

(6 x - 3)^{3} = (6 x)^{3} - 3 (6 x)^{2} \cdot 3 + 3 \cdot 6 x \cdot 3^{2} - 3^{3}

= (6 x)^{3} - 3 (6 x)^{2} \cdot 3 + 3 \cdot 6 x \cdot 3^{2} - 3^{3}

Simplify

(6 x)^{3} - 3 (6 x)^{2} \cdot 3 + 3 \cdot 6 x \cdot 3^{2} - 3^{3} : 216 x^{3} - 324 x^{2} + 162 x - 27

= 216 x^{3} - 324 x^{2} + 162 x - 27

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Frequently Asked Questions (FAQ)

What is expand (6x-3)^3 ?
The solution to expand (6x-3)^3 is 216x^3-324x^2+162x-27