What is factor 32x^3+16x^2-50x-25 ?

The solution to factor 32x^3+16x^2-50x-25 is (2x+1)(4x+5)(4x-5)

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factor 32x^3+16x^2-50x-25

factor

32 x^{3} + 16 x^{2} - 50 x - 25

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

Solution steps

32 x^{3} + 16 x^{2} - 50 x - 25

= (32 x^{3} + 16 x^{2}) + (- 50 x - 25)

Factor out

16 x^{2}

from

32 x^{3} + 16 x^{2} : 16 x^{2} (2 x + 1)

Factor out

- 25

from

- 50 x - 25 : - 25 (2 x + 1)

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

Factor out common term

2 x + 1

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

Factor

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

= (2 x + 1) (4 x + 5) (4 x - 5)

2 - 2 m + [2 m - (2 - 2 m)] = 2

(x - 2) x - \frac{x + 2}{3} - \frac{( x - 2 ) ( x + 2 )}{2} = (x - 2)^{2} - 4

7 x + 8 - 9 (x + 1) = 3 x + 2

\frac{x ^{\frac{2}{5}} y}{x y ^{- \frac{1}{3}}}

x^{2} + \frac{8 x}{3} = - \frac{7}{9}

What is factor 32x^3+16x^2-50x-25 ?
The solution to factor 32x^3+16x^2-50x-25 is (2x+1)(4x+5)(4x-5)