What is factor a^6-3a^3b-54b^2 ?

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

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factor a^6-3a^3b-54b^2

factor

a^{6} - 3 a^{3} b - 54 b^{2}

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

Solution steps

a^{6} - 3 a^{3} b - 54 b^{2}

Break the expression into groups

= (a^{6} + 6 a^{3} b) + (- 9 a^{3} b - 54 b^{2})

Factor out

a^{3}

from

a^{6} + 6 a^{3} b : a^{3} (a^{3} + 6 b)

Factor out

- 9 b

from

- 9 a^{3} b - 54 b^{2} : - 9 b (a^{3} + 6 b)

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

Factor out common term

a^{3} + 6 b

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

(2 a + 2 b - c)^{2} + (2 b + 2 c - a)^{2} b + (2 c + 2 a - b)^{2}

33 \cdot x^{3} - 22 \cdot y^{3}

\frac{( 3 x - 1 )}{( 3 - x )}

25 y^{2} - 16 z^{2}

(8 x)^{7} (8 x)^{- 6}

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