What is expand (x^2+x+1)^3 ?

The solution to expand (x^2+x+1)^3 is x^6+3x^5+6x^4+7x^3+6x^2+3x+1

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expand (x^2+x+1)^3

expand

(x^{2} + x + 1)^{3}

x^{6} + 3 x^{5} + 6 x^{4} + 7 x^{3} + 6 x^{2} + 3 x + 1

Solution steps

(x^{2} + x + 1)^{3}

Simplify

(x^{2} + x + 1)^{3} : (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^{4} + 2 x^{3} + 3 x^{2} + 2 x + 1

= (x^{4} + 2 x^{3} + 3 x^{2} + 2 x + 1) (x^{2} + x + 1)

Distribute parentheses

= x^{4} x^{2} + x^{4} x + x^{4} \cdot 1 + 2 x^{3} x^{2} + 2 x^{3} x + 2 x^{3} \cdot 1 + 3 x^{2} x^{2} + 3 x^{2} x + 3 x^{2} \cdot 1 + 2 x x^{2} + 2 xx + 2 x \cdot 1 + 1 \cdot x^{2} + 1 \cdot x + 1 \cdot 1

Simplify

x^{4} x^{2} + x^{4} x + x^{4} \cdot 1 + 2 x^{3} x^{2} + 2 x^{3} x + 2 x^{3} \cdot 1 + 3 x^{2} x^{2} + 3 x^{2} x + 3 x^{2} \cdot 1 + 2 x x^{2} + 2 xx + 2 x \cdot 1 + 1 \cdot x^{2} + 1 \cdot x + 1 \cdot 1 : x^{6} + 3 x^{5} + 6 x^{4} + 7 x^{3} + 6 x^{2} + 3 x + 1

= x^{6} + 3 x^{5} + 6 x^{4} + 7 x^{3} + 6 x^{2} + 3 x + 1

s^{0}

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

(9 y^{2} - 4 x) (9 y^{2} + 4 x)

lo g_{3} (4) - 2 lo g_{3} (6) - 2

(3 + x) (2 x - 5)

What is expand (x^2+x+1)^3 ?
The solution to expand (x^2+x+1)^3 is x^6+3x^5+6x^4+7x^3+6x^2+3x+1