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Popular >

expand (2x-9)^3

Solution

expand

(2 x - 9)^{3}

Solution

8 x^{3} - 108 x^{2} + 486 x - 729

Solution steps

(2 x - 9)^{3}

Apply Perfect Cube Formula:

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

(2 x - 9)^{3} = (2 x)^{3} - 3 (2 x)^{2} \cdot 9 + 3 \cdot 2 x \cdot 9^{2} - 9^{3}

= (2 x)^{3} - 3 (2 x)^{2} \cdot 9 + 3 \cdot 2 x \cdot 9^{2} - 9^{3}

Simplify

(2 x)^{3} - 3 (2 x)^{2} \cdot 9 + 3 \cdot 2 x \cdot 9^{2} - 9^{3} : 8 x^{3} - 108 x^{2} + 486 x - 729

= 8 x^{3} - 108 x^{2} + 486 x - 729

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Frequently Asked Questions (FAQ)

What is expand (2x-9)^3 ?
The solution to expand (2x-9)^3 is 8x^3-108x^2+486x-729