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Popular >

factor-x^3-75x-15x^2-125

Solution

factor

- x^{3} - 75 x - 15 x^{2} - 125

Solution

- (x + 5)^{3}

Solution steps

- x^{3} - 75 x - 15 x^{2} - 125

= (- x^{3} - 15 x^{2}) + (- 75 x - 125)

Factor out

- x^{2}

from

- x^{3} - 15 x^{2} : - x^{2} (x + 15)

Factor out

- 25

from

- 75 x - 125 : - 25 (3 x + 5)

= - x^{2} (x + 15) - 25 (3 x + 5)

Factor out

- 1

= - (x^{2} (x + 15) + 25 (3 x + 5))

Expand

x^{2} (x + 15) + 25 (3 x + 5) : x^{3} + 15 x^{2} + 75 x + 125

= - (x^{3} + 15 x^{2} + 75 x + 125)

Factor

x^{3} + 15 x^{2} + 75 x + 125 : (x + 5)^{3}

= - (x + 5)^{3}

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Frequently Asked Questions (FAQ)

What is factor-x^3-75x-15x^2-125 ?
The solution to factor-x^3-75x-15x^2-125 is -(x+5)^3