What is expand (1-x-x^2)^5 ?

The solution to expand (1-x-x^2)^5 is -x^{10}-5x^9-5x^8+10x^7+15x^6-11x^5-15x^4+10x^3+5x^2-5x+1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (1-x-x^2)^5

expand

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

- x^{10} - 5 x^{9} - 5 x^{8} + 10 x^{7} + 15 x^{6} - 11 x^{5} - 15 x^{4} + 10 x^{3} + 5 x^{2} - 5 x + 1

Solution steps

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

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

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

Expand

(1 - x - x^{2}) (1 - x - x^{2}) (1 - x - x^{2}) (1 - x - x^{2}) (1 - x - x^{2}) : - x^{10} - 5 x^{9} - 5 x^{8} + 10 x^{7} + 15 x^{6} - 11 x^{5} - 15 x^{4} + 10 x^{3} + 5 x^{2} - 5 x + 1

= - x^{10} - 5 x^{9} - 5 x^{8} + 10 x^{7} + 15 x^{6} - 11 x^{5} - 15 x^{4} + 10 x^{3} + 5 x^{2} - 5 x + 1

(- 24 - 4 D + 2 E = 0,) - (- 12 - 2 D + 6 E = 0)

(12 d^{7} - 6 e^{11})^{2}

lo g_{2} (4 x) y

- 1 (- 5 y - 3 = - 6 x)

\frac{1}{x ( 3 + x )}

What is expand (1-x-x^2)^5 ?
The solution to expand (1-x-x^2)^5 is -x^{10}-5x^9-5x^8+10x^7+15x^6-11x^5-15x^4+10x^3+5x^2-5x+1