What is factor 16x^3+4x^2-100x-25 ?

The solution to factor 16x^3+4x^2-100x-25 is (4x+1)(2x+5)(2x-5)

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factor 16x^3+4x^2-100x-25

factor

16 x^{3} + 4 x^{2} - 100 x - 25

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

Solution steps

16 x^{3} + 4 x^{2} - 100 x - 25

= (16 x^{3} + 4 x^{2}) + (- 100 x - 25)

Factor out

4 x^{2}

from

16 x^{3} + 4 x^{2} : 4 x^{2} (4 x + 1)

Factor out

- 25

from

- 100 x - 25 : - 25 (4 x + 1)

= 4 x^{2} (4 x + 1) - 25 (4 x + 1)

Factor out common term

4 x + 1

= (4 x + 1) (4 x^{2} - 25)

Factor

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

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

\frac{32 x ^{4} - 50}{4 x ^{3} - 12 x ^{2} - 5 x + 15}

(2^{n})^{2}

- 160 + 10

4 - - 98 - 144 + - 128

\frac{- 2 x ^{2} + 4}{4 - x ^{2}}

What is factor 16x^3+4x^2-100x-25 ?
The solution to factor 16x^3+4x^2-100x-25 is (4x+1)(2x+5)(2x-5)