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

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

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

factor

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

(2 a - 3)^{3}

Solution steps

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

Use the rational root theorem

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

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

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

Factor

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

= (2 a - 3) (2 a - 3) (2 a - 3)

Apply exponent rule:

aaa = a^{3}

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

= (2 a - 3)^{3}

\frac{12 x ^{5} \cdot y ^{2}}{3 \cdot x ^{2} \cdot y}

26 x (- 48) + (- 48) \cdot x (- 36)

1 x^{3} - x^{2} - 8 x + 12

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

f (x - 4) + 2

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