What is factor 125-300n+240n^2-64n^3 ?

The solution to factor 125-300n+240n^2-64n^3 is -(4n-5)^3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 125-300n+240n^2-64n^3

factor

125 - 300 n + 240 n^{2} - 64 n^{3}

- (4 n - 5)^{3}

Solution steps

125 - 300 n + 240 n^{2} - 64 n^{3}

Write in the standard form

= - 64 n^{3} + 240 n^{2} - 300 n + 125

Factor out

- 1 : - (64 n^{3} - 240 n^{2} + 300 n - 125)

= - (64 n^{3} - 240 n^{2} + 300 n - 125)

Factor

64 n^{3} - 240 n^{2} + 300 n - 125 : (4 n - 5) (4 n - 5) (4 n - 5)

= - (4 n - 5) (4 n - 5) (4 n - 5)

Apply exponent rule:

aaa = a^{3}

(4 n - 5) (4 n - 5) (4 n - 5) = (4 n - 5)^{3}

= - (4 n - 5)^{3}

30 a^{2} - 57 a - 45

- 3 < 1 - 2 n \leq 4

7 (- 4)

15 x - 10 x^{3}

\frac{3}{8} + \frac{2}{5}

What is factor 125-300n+240n^2-64n^3 ?
The solution to factor 125-300n+240n^2-64n^3 is -(4n-5)^3