What is factor 8x^3-36x^2+54x-27 ?

The solution to factor 8x^3-36x^2+54x-27 is (2x-3)^3

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factor 8x^3-36x^2+54x-27

factor

8 x^{3} - 36 x^{2} + 54 x - 27

(2 x - 3)^{3}

Solution steps

8 x^{3} - 36 x^{2} + 54 x - 27

Use the rational root theorem

= (2 x - 3) \frac{8 x ^{3} - 36 x ^{2} + 54 x - 27}{2 x - 3}

\frac{8 x ^{3} - 36 x ^{2} + 54 x - 27}{2 x - 3} = 4 x^{2} - 12 x + 9

= (2 x - 3) (4 x^{2} - 12 x + 9)

Factor

4 x^{2} - 12 x + 9 : (2 x - 3) (2 x - 3)

= (2 x - 3) (2 x - 3) (2 x - 3)

Apply exponent rule:

aaa = a^{3}

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

= (2 x - 3)^{3}

2 x^{2} (x + 3)

2 x \cdot 6 x

\frac{3 - 2}{5 - 2 3}

(\frac{2 x ^{2} y}{5})^{2}

(6 x^{2} + 2 x) - (- 9 x^{2} - 10 x)

What is factor 8x^3-36x^2+54x-27 ?
The solution to factor 8x^3-36x^2+54x-27 is (2x-3)^3