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

The solution to expand (x^2+x+1)^5 is x^{10}+5x^9+15x^8+30x^7+45x^6+51x^5+45x^4+30x^3+15x^2+5x+1

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

expand

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

x^{10} + 5 x^{9} + 15 x^{8} + 30 x^{7} + 45 x^{6} + 51 x^{5} + 45 x^{4} + 30 x^{3} + 15 x^{2} + 5 x + 1

Solution steps

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

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

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

Expand

(x^{2} + x + 1) (x^{2} + x + 1) (x^{2} + x + 1) (x^{2} + x + 1) (x^{2} + x + 1) : x^{10} + 5 x^{9} + 15 x^{8} + 30 x^{7} + 45 x^{6} + 51 x^{5} + 45 x^{4} + 30 x^{3} + 15 x^{2} + 5 x + 1

= x^{10} + 5 x^{9} + 15 x^{8} + 30 x^{7} + 45 x^{6} + 51 x^{5} + 45 x^{4} + 30 x^{3} + 15 x^{2} + 5 x + 1

ln (z) (z - 3)^{2}

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

\frac{8}{( x ^{2} + 4 ) ( x ^{2} + 6 x + 25 )}

\frac{1}{4} ((s + 2)^{2} (s - 2)^{3} (s^{2} + 4))

10 - 10 e^{- 3 x} (cos (3 x) + sin (3 x))

What is expand (x^2+x+1)^5 ?
The solution to expand (x^2+x+1)^5 is x^{10}+5x^9+15x^8+30x^7+45x^6+51x^5+45x^4+30x^3+15x^2+5x+1