What is expand (x^2+x+17)^3 ?

The solution to expand (x^2+x+17)^3 is x^6+3x^5+54x^4+103x^3+918x^2+867x+4913

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expand (x^2+x+17)^3

expand

(x^{2} + x + 17)^{3}

x^{6} + 3 x^{5} + 54 x^{4} + 103 x^{3} + 918 x^{2} + 867 x + 4913

Solution steps

(x^{2} + x + 17)^{3}

Simplify

(x^{2} + x + 17)^{3} : (x^{2} + x + 17) (x^{2} + x + 17) (x^{2} + x + 17)

= (x^{2} + x + 17) (x^{2} + x + 17) (x^{2} + x + 17)

Expand

(x^{2} + x + 17) (x^{2} + x + 17) : x^{4} + 2 x^{3} + 35 x^{2} + 34 x + 289

= (x^{4} + 2 x^{3} + 35 x^{2} + 34 x + 289) (x^{2} + x + 17)

Distribute parentheses

= x^{4} x^{2} + x^{4} x + x^{4} \cdot 17 + 2 x^{3} x^{2} + 2 x^{3} x + 2 x^{3} \cdot 17 + 35 x^{2} x^{2} + 35 x^{2} x + 35 x^{2} \cdot 17 + 34 x x^{2} + 34 xx + 34 x \cdot 17 + 289 x^{2} + 289 x + 289 \cdot 17

Simplify

x^{4} x^{2} + x^{4} x + x^{4} \cdot 17 + 2 x^{3} x^{2} + 2 x^{3} x + 2 x^{3} \cdot 17 + 35 x^{2} x^{2} + 35 x^{2} x + 35 x^{2} \cdot 17 + 34 x x^{2} + 34 xx + 34 x \cdot 17 + 289 x^{2} + 289 x + 289 \cdot 17 : x^{6} + 3 x^{5} + 54 x^{4} + 103 x^{3} + 918 x^{2} + 867 x + 4913

= x^{6} + 3 x^{5} + 54 x^{4} + 103 x^{3} + 918 x^{2} + 867 x + 4913

\frac{7}{10} - 1

lo g_{2} (740)

1. 1^{7}

\frac{2 x + 6}{2}

- 5 - \frac{1}{3}

What is expand (x^2+x+17)^3 ?
The solution to expand (x^2+x+17)^3 is x^6+3x^5+54x^4+103x^3+918x^2+867x+4913