What is factor 64-144a+108a^2-27a^3 ?

The solution to factor 64-144a+108a^2-27a^3 is -(3a-4)^3

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factor 64-144a+108a^2-27a^3

factor

64 - 144 a + 108 a^{2} - 27 a^{3}

- (3 a - 4)^{3}

Solution steps

64 - 144 a + 108 a^{2} - 27 a^{3}

Write in the standard form

= - 27 a^{3} + 108 a^{2} - 144 a + 64

Factor out

- 1 : - (27 a^{3} - 108 a^{2} + 144 a - 64)

= - (27 a^{3} - 108 a^{2} + 144 a - 64)

Factor

27 a^{3} - 108 a^{2} + 144 a - 64 : (3 a - 4) (3 a - 4) (3 a - 4)

= - (3 a - 4) (3 a - 4) (3 a - 4)

Apply exponent rule:

aaa = a^{3}

(3 a - 4) (3 a - 4) (3 a - 4) = (3 a - 4)^{3}

= - (3 a - 4)^{3}

y^{3} + z^{3} - (y + z)^{3}

(3 x + 5 y) 2

\frac{- 1}{2 ( - 3 y + 10 )}

(a + b)^{16}

(a^{b} + b^{a})^{- 1}

What is factor 64-144a+108a^2-27a^3 ?
The solution to factor 64-144a+108a^2-27a^3 is -(3a-4)^3