What is factor 8x^3-729 ?

The solution to factor 8x^3-729 is (2x-9)(4x^2+18x+81)

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factor 8x^3-729

factor

8 x^{3} - 729

(2 x - 9) (4 x^{2} + 18 x + 81)

Solution steps

8 x^{3} - 729

Apply exponent rules

= (2 x)^{3} - 9^{3}

Apply Difference of Cubes Formula:

x^{3} - y^{3} = (x - y) (x^{2} + x y + y^{2})

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

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

Simplify

(2 x - 9) (2^{2} x^{2} + 9 \cdot 2 x + 9^{2}) : (2 x - 9) (4 x^{2} + 18 x + 81)

= (2 x - 9) (4 x^{2} + 18 x + 81)

(x^{2} - x + 2)^{2}

(\frac{1}{e})^{2} ln (\frac{1}{e})

(\frac{a ^{- 4}}{b ^{- 3}}) (\frac{b ^{- 3}}{a ^{- 4}})

[(sin (x) - cos (x))^{2} - 1] sec (x) csc (x)

\frac{3 x ^{2} - 3}{4 x ^{2} + 4 x}

What is factor 8x^3-729 ?
The solution to factor 8x^3-729 is (2x-9)(4x^2+18x+81)