What is expand (8x-9)^3 ?

The solution to expand (8x-9)^3 is 512x^3-1728x^2+1944x-729

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expand (8x-9)^3

expand

(8 x - 9)^{3}

512 x^{3} - 1728 x^{2} + 1944 x - 729

Solution steps

(8 x - 9)^{3}

Apply Perfect Cube Formula:

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

(8 x - 9)^{3} = (8 x)^{3} - 3 (8 x)^{2} \cdot 9 + 3 \cdot 8 x \cdot 9^{2} - 9^{3}

= (8 x)^{3} - 3 (8 x)^{2} \cdot 9 + 3 \cdot 8 x \cdot 9^{2} - 9^{3}

Simplify

(8 x)^{3} - 3 (8 x)^{2} \cdot 9 + 3 \cdot 8 x \cdot 9^{2} - 9^{3} : 512 x^{3} - 1728 x^{2} + 1944 x - 729

= 512 x^{3} - 1728 x^{2} + 1944 x - 729

(2 x^{- 1})^{2} (2 x^{0})

(7 x + 3) (x - 9)

- ∣ 4 ∣

6 \cdot (- 9)

126 - 76 + 36

What is expand (8x-9)^3 ?
The solution to expand (8x-9)^3 is 512x^3-1728x^2+1944x-729