What is factor 9x^3-36x^2-25x+100 ?

The solution to factor 9x^3-36x^2-25x+100 is (x-4)(3x+5)(3x-5)

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factor 9x^3-36x^2-25x+100

factor

9 x^{3} - 36 x^{2} - 25 x + 100

(x - 4) (3 x + 5) (3 x - 5)

Solution steps

9 x^{3} - 36 x^{2} - 25 x + 100

= (9 x^{3} - 36 x^{2}) + (- 25 x + 100)

Factor out

9 x^{2}

from

9 x^{3} - 36 x^{2} : 9 x^{2} (x - 4)

Factor out

- 25

from

- 25 x + 100 : - 25 (x - 4)

= 9 x^{2} (x - 4) - 25 (x - 4)

Factor out common term

x - 4

= (x - 4) (9 x^{2} - 25)

Factor

9 x^{2} - 25 : (3 x + 5) (3 x - 5)

= (x - 4) (3 x + 5) (3 x - 5)

5 x^{2} + 30 x = 125

\frac{k}{2} - 4 = 18

3 y + 6 (3) = 27

\frac{1}{2 ^{4}}

\frac{8 ^{4}}{8 ^{- 2}}

What is factor 9x^3-36x^2-25x+100 ?
The solution to factor 9x^3-36x^2-25x+100 is (x-4)(3x+5)(3x-5)