What is factor 54x^4+27x^3a-16x-8a ?

The solution to factor 54x^4+27x^3a-16x-8a is (2x+a)(3x-2)(9x^2+6x+4)

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factor 54x^4+27x^3a-16x-8a

factor

54 x^{4} + 27 x^{3} a - 16 x - 8 a

(2 x + a) (3 x - 2) (9 x^{2} + 6 x + 4)

Solution steps

54 x^{4} + 27 x^{3} a - 16 x - 8 a

= (54 x^{4} + 27 x^{3} a) + (- 16 x - 8 a)

Factor out

27 x^{3}

from

54 x^{4} + 27 x^{3} a : 27 x^{3} (2 x + a)

Factor out

- 8

from

- 16 x - 8 a : - 8 (2 x + a)

= 27 x^{3} (2 x + a) - 8 (2 x + a)

Factor out common term

2 x + a

= (2 x + a) (27 x^{3} - 8)

Factor

27 x^{3} - 8 : (3 x - 2) (3^{2} x^{2} + 2 \cdot 3 x + 2^{2})

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

Simplify

(2 x + a) (3 x - 2) (3^{2} x^{2} + 2 \cdot 3 x + 2^{2}) : (2 x + a) (3 x - 2) (9 x^{2} + 6 x + 4)

= (2 x + a) (3 x - 2) (9 x^{2} + 6 x + 4)

(x^{2} - 3 y^{2})^{5}

81 a 7 - b^{5}

2 (x - m)^{3} + 4 (x - m) - 5

1 0^{l o g_{100} (x)}

4 x^{4} + 16 x^{3} - 20 x

What is factor 54x^4+27x^3a-16x-8a ?
The solution to factor 54x^4+27x^3a-16x-8a is (2x+a)(3x-2)(9x^2+6x+4)