What is factor 54m^4+27m^3n-16m-8n ?

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

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factor 54m^4+27m^3n-16m-8n

factor

54 m^{4} + 27 m^{3} n - 16 m - 8 n

(2 m + n) (3 m - 2) (9 m^{2} + 6 m + 4)

Solution steps

54 m^{4} + 27 m^{3} n - 16 m - 8 n

= (54 m^{4} + 27 m^{3} n) + (- 16 m - 8 n)

Factor out

27 m^{3}

from

54 m^{4} + 27 m^{3} n : 27 m^{3} (2 m + n)

Factor out

- 8

from

- 16 m - 8 n : - 8 (2 m + n)

= 27 m^{3} (2 m + n) - 8 (2 m + n)

Factor out common term

2 m + n

= (2 m + n) (27 m^{3} - 8)

Factor

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

= (2 m + n) (3 m - 2) (3^{2} m^{2} + 2 \cdot 3 m + 2^{2})

Simplify

(2 m + n) (3 m - 2) (3^{2} m^{2} + 2 \cdot 3 m + 2^{2}) : (2 m + n) (3 m - 2) (9 m^{2} + 6 m + 4)

= (2 m + n) (3 m - 2) (9 m^{2} + 6 m + 4)

\frac{f ( x ) 2 x}{x + 1}

81 x^{2} - 16 y^{2}

f (x) = 8 x^{8} - 1

- 2 x + 2 y

\frac{( x ^{2} - ( y + z ) ^{2} )}{( z ^{2} - ( x + y ) ^{2} )}

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