What is factor 12x^3+16x^2-75x-100 ?

The solution to factor 12x^3+16x^2-75x-100 is (3x+4)(2x+5)(2x-5)

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factor 12x^3+16x^2-75x-100

factor

12 x^{3} + 16 x^{2} - 75 x - 100

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

Solution steps

12 x^{3} + 16 x^{2} - 75 x - 100

= (12 x^{3} + 16 x^{2}) + (- 75 x - 100)

Factor out

4 x^{2}

from

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

Factor out

- 25

from

- 75 x - 100 : - 25 (3 x + 4)

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

Factor out common term

3 x + 4

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

Factor

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

= (3 x + 4) (2 x + 5) (2 x - 5)

3 (- \frac{2}{7})^{0}

\frac{4}{7} + \frac{6}{7 x}

8 x^{2} - 6 x

- 2 x (2 - x^{2}) (x + 1)

lo g_{4} (lo g_{5} (25))

What is factor 12x^3+16x^2-75x-100 ?
The solution to factor 12x^3+16x^2-75x-100 is (3x+4)(2x+5)(2x-5)