What is factor 54a^4+16ab^3 ?

The solution to factor 54a^4+16ab^3 is 2a(3a+2b)(9a^2-6ab+4b^2)

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factor 54a^4+16ab^3

factor

54 a^{4} + 16 a b^{3}

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

Solution steps

54 a^{4} + 16 a b^{3}

Factor out common term

2 a : 2 a (27 a^{3} + 8 b^{3})

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

Factor

27 a^{3} + 8 b^{3} : (3 a + 2 b) (9 a^{2} - 6 ab + 4 b^{2})

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

3 = 1 - x^{2}

\frac{1}{5 ^{- 3}}

- \frac{7}{2} \cdot (- \frac{7}{5})

(2 k)^{2}

3 x^{2} - 5 x + 2 > 0

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