What is factor 16x^3-16x^2-25x+25 ?

The solution to factor 16x^3-16x^2-25x+25 is (x-1)(4x+5)(4x-5)

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factor 16x^3-16x^2-25x+25

factor

16 x^{3} - 16 x^{2} - 25 x + 25

(x - 1) (4 x + 5) (4 x - 5)

Solution steps

16 x^{3} - 16 x^{2} - 25 x + 25

= (16 x^{3} - 16 x^{2}) + (- 25 x + 25)

Factor out

16 x^{2}

from

16 x^{3} - 16 x^{2} : 16 x^{2} (x - 1)

Factor out

- 25

from

- 25 x + 25 : - 25 (x - 1)

= 16 x^{2} (x - 1) - 25 (x - 1)

Factor out common term

x - 1

= (x - 1) (16 x^{2} - 25)

Factor

16 x^{2} - 25 : (4 x + 5) (4 x - 5)

= (x - 1) (4 x + 5) (4 x - 5)

16 x^{3} - 100 x

8 s = 48

\frac{m}{6} = \frac{m + 1}{5}

x^{2} = 6 x - 34

2 x^{2} - 1400 = 0

What is factor 16x^3-16x^2-25x+25 ?
The solution to factor 16x^3-16x^2-25x+25 is (x-1)(4x+5)(4x-5)