en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (x+2y-z)^5

Solution

expand

(x + 2 y - z)^{5}

Solution

x^{5} + 10 x^{4} y - 5 x^{4} z + 40 x^{3} y^{2} + 10 x^{3} z^{2} - 40 x^{3} yz + 80 x^{2} y^{3} - 10 x^{2} z^{3} + 60 x^{2} y z^{2} - 120 x^{2} y^{2} z + 80 x y^{4} + 5 x z^{4} - 40 x y z^{3} + 120 x y^{2} z^{2} - 160 x y^{3} z + 32 y^{5} - z^{5} + 10 y z^{4} - 40 y^{2} z^{3} + 80 y^{3} z^{2} - 80 y^{4} z

Solution steps

(x + 2 y - z)^{5}

(x + 2 y - z)^{5} = (x + 2 y - z) (x + 2 y - z) (x + 2 y - z) (x + 2 y - z) (x + 2 y - z)

= (x + 2 y - z) (x + 2 y - z) (x + 2 y - z) (x + 2 y - z) (x + 2 y - z)

Expand

(x + 2 y - z) (x + 2 y - z) (x + 2 y - z) (x + 2 y - z) (x + 2 y - z) : x^{5} + 10 x^{4} y - 5 x^{4} z + 40 x^{3} y^{2} + 10 x^{3} z^{2} - 40 x^{3} yz + 80 x^{2} y^{3} - 10 x^{2} z^{3} + 60 x^{2} y z^{2} - 120 x^{2} y^{2} z + 80 x y^{4} + 5 x z^{4} - 40 x y z^{3} + 120 x y^{2} z^{2} - 160 x y^{3} z + 32 y^{5} - z^{5} + 10 y z^{4} - 40 y^{2} z^{3} + 80 y^{3} z^{2} - 80 y^{4} z

= x^{5} + 10 x^{4} y - 5 x^{4} z + 40 x^{3} y^{2} + 10 x^{3} z^{2} - 40 x^{3} yz + 80 x^{2} y^{3} - 10 x^{2} z^{3} + 60 x^{2} y z^{2} - 120 x^{2} y^{2} z + 80 x y^{4} + 5 x z^{4} - 40 x y z^{3} + 120 x y^{2} z^{2} - 160 x y^{3} z + 32 y^{5} - z^{5} + 10 y z^{4} - 40 y^{2} z^{3} + 80 y^{3} z^{2} - 80 y^{4} z

Popular Examples

expand (m-2x)/(x(m-x))expand

\frac{m - 2 x}{x ( m - x )}

expand 5+4t-3t^2+3e^-4t-5(sin(4t)+3cos(4t))expand

5 + 4 t - 3 t^{2} + 3 e^{-} 4 t - 5 (sin (4 t) + 3 cos (4 t))

expand 1.02^{-12}-1 expand

1.0 2^{- 12} - 1

expand pi(x+2)^2(x+5)expand

π (x + 2)^{2} (x + 5)

((8x))/((x^{(3))-x^{(2)}-x-1)dx}

\frac{( 8 x )}{( x ^{(3)} - x ^{(2)} - x - 1 ) d x}

Frequently Asked Questions (FAQ)

What is expand (x+2y-z)^5 ?
The solution to expand (x+2y-z)^5 is