What is factor 2x^3+3x^2-50x-75 ?

The solution to factor 2x^3+3x^2-50x-75 is (2x+3)(x+5)(x-5)

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factor 2x^3+3x^2-50x-75

factor

2 x^{3} + 3 x^{2} - 50 x - 75

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

Solution steps

2 x^{3} + 3 x^{2} - 50 x - 75

= (2 x^{3} + 3 x^{2}) + (- 50 x - 75)

Factor out

x^{2}

from

2 x^{3} + 3 x^{2} : x^{2} (2 x + 3)

Factor out

- 25

from

- 50 x - 75 : - 25 (2 x + 3)

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

Factor out common term

2 x + 3

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

Factor

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

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

\frac{1}{5} b^{3}

\frac{d + 3}{d ^{2}} \cdot \frac{3 d}{d ^{2} + 7 d + 12}

\frac{( - 4 d ^{4} ) ^{2}}{- 5 d ^{- 10}}

(6 a^{- 3}) (- 2 a^{4})

What is factor 2x^3+3x^2-50x-75 ?
The solution to factor 2x^3+3x^2-50x-75 is (2x+3)(x+5)(x-5)