What is factor 125x^3+1+75x^2+15x ?

The solution to factor 125x^3+1+75x^2+15x is (5x+1)^3

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factor 125x^3+1+75x^2+15x

factor

125 x^{3} + 1 + 75 x^{2} + 15 x

(5 x + 1)^{3}

Solution steps

125 x^{3} + 1 + 75 x^{2} + 15 x

Write in the standard form

= 125 x^{3} + 75 x^{2} + 15 x + 1

Use the rational root theorem

= (5 x + 1) \frac{125 x ^{3} + 75 x ^{2} + 15 x + 1}{5 x + 1}

\frac{125 x ^{3} + 75 x ^{2} + 15 x + 1}{5 x + 1} = 25 x^{2} + 10 x + 1

= (5 x + 1) (25 x^{2} + 10 x + 1)

Factor

25 x^{2} + 10 x + 1 : (5 x + 1) (5 x + 1)

= (5 x + 1) (5 x + 1) (5 x + 1)

Apply exponent rule:

aaa = a^{3}

(5 x + 1) (5 x + 1) (5 x + 1) = (5 x + 1)^{3}

= (5 x + 1)^{3}

(y^{2} - y)^{3}

\frac{9}{x} - \frac{3}{8 x}

\frac{4}{5} \cdot 2 \frac{2}{3}

2 (- \frac{1}{2})^{3} + 3 (- \frac{1}{2})^{2} - 36 (- \frac{1}{2})

(- x - 5)^{2}

What is factor 125x^3+1+75x^2+15x ?
The solution to factor 125x^3+1+75x^2+15x is (5x+1)^3