What is factor x^3+6x^2-9x-54 ?

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

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factor x^3+6x^2-9x-54

factor

x^{3} + 6 x^{2} - 9 x - 54

(x + 6) (x + 3) (x - 3)

Solution steps

x^{3} + 6 x^{2} - 9 x - 54

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

Factor out

x^{2}

from

x^{3} + 6 x^{2} : x^{2} (x + 6)

Factor out

- 9

from

- 9 x - 54 : - 9 (x + 6)

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

Factor out common term

x + 6

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

Factor

x^{2} - 9 : (x + 3) (x - 3)

= (x + 6) (x + 3) (x - 3)

(- 5 x)^{2}

(3)^{10} (3)^{- 9}

2 (4)^{- 2}

(\frac{8}{3})^{- 2}

\frac{\frac{1}{r} + \frac{1}{s}}{\frac{1}{r ^{2}} - \frac{1}{s ^{2}}}

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