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

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

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factor 64x^3+144x^2+108x+27

factor

64 x^{3} + 144 x^{2} + 108 x + 27

(4 x + 3)^{3}

Solution steps

64 x^{3} + 144 x^{2} + 108 x + 27

Use the rational root theorem

= (4 x + 3) \frac{64 x ^{3} + 144 x ^{2} + 108 x + 27}{4 x + 3}

\frac{64 x ^{3} + 144 x ^{2} + 108 x + 27}{4 x + 3} = 16 x^{2} + 24 x + 9

= (4 x + 3) (16 x^{2} + 24 x + 9)

Factor

16 x^{2} + 24 x + 9 : (4 x + 3) (4 x + 3)

= (4 x + 3) (4 x + 3) (4 x + 3)

Apply exponent rule:

aaa = a^{3}

(4 x + 3) (4 x + 3) (4 x + 3) = (4 x + 3)^{3}

= (4 x + 3)^{3}

(x^{2} + x + 1) - (2 x^{2} - 3 x - 5)

12 - - 225 ab

(2 - 2 i)^{- 1}

\frac{x ^{2} + 5 x + 4}{x ^{2} + 3 x - 4}

10 x + 3 y + z - (5 x - 8 y + 3 z + 5 x - 2 y - 5 z)

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