en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 5-x+5x^2-x^3

Solution

factor

5 - x + 5 x^{2} - x^{3}

Solution

- (x - 5) (x^{2} + 1)

Solution steps

5 - x + 5 x^{2} - x^{3}

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

Factor out

- x^{2}

from

- x^{3} + 5 x^{2} : - x^{2} (x - 5)

Factor out

- 1

from

- x + 5 : - (x - 5)

= - x^{2} (x - 5) - (x - 5)

Factor out common term

(x - 5) : (x - 5) (- x^{2} - 1)

= (x - 5) (- x^{2} - 1)

Factor

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

= (x - 5) (- (x^{2} + 1))

Apply rule:

a (- b) = - ab

(x - 5) (- (x^{2} + 1)) = - (x - 5) (x^{2} + 1)

= - (x - 5) (x^{2} + 1)

Popular Examples

expand x(a-b)+y(a-b)expand

x (a - b) + y (a - b)

simplify (16)/(\sqrt[3]{16)}simplify

simplify 2+1/7 simplify

2 + \frac{1}{7}

expand x^2(4-x^2)expand

x^{2} (4 - x^{2})

simplify [2x-3(x-1)]-[(3x+1)(-x+2)]simplify

[2 x - 3 (x - 1)] - [(3 x + 1) (- x + 2)]

Frequently Asked Questions (FAQ)

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