What is factor (x+1)^4-10(x+1)^2+9 ?

The solution to factor (x+1)^4-10(x+1)^2+9 is x(x+2)(x+4)(x-2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor (x+1)^4-10(x+1)^2+9

factor

(x + 1)^{4} - 10 (x + 1)^{2} + 9

x (x + 2) (x + 4) (x - 2)

Solution steps

(x + 1)^{4} - 10 (x + 1)^{2} + 9

Let

u = (x + 1)^{2}

= u^{2} - 10 u + 9

Factor

u^{2} - 10 u + 9 : (u - 1) (u - 9)

= (u - 1) (u - 9)

Substitute back

u = (x + 1)^{2}

= ((x + 1)^{2} - 1) ((x + 1)^{2} - 9)

Factor

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

= ((x + 1) + 1) ((x + 1) - 1) ((x + 1)^{2} - 9)

Factor

(x + 1)^{2} - 9 : ((x + 1) + 3) ((x + 1) - 3)

= ((x + 1) + 1) ((x + 1) - 1) ((x + 1) + 3) ((x + 1) - 3)

Refine

= x (x + 2) (x + 4) (x - 2)

r^{3} w^{6} - 125 p^{12}

x \frac{d y}{d x} - 2 x y

4 x^{6} - 9 y^{1} 0 z^{1} 2

(sin (5 x))^{4}

(y + z)^{3} - 125

What is factor (x+1)^4-10(x+1)^2+9 ?
The solution to factor (x+1)^4-10(x+1)^2+9 is x(x+2)(x+4)(x-2)