What is expand (x^4+x^3+x^2+x+1)(x^4-x^3+x^2-x+1) ?

The solution to expand (x^4+x^3+x^2+x+1)(x^4-x^3+x^2-x+1) is x^8+x^6+x^4+x^2+1

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expand (x^4+x^3+x^2+x+1)(x^4-x^3+x^2-x+1)

expand

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

x^{8} + x^{6} + x^{4} + x^{2} + 1

Solution steps

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

Distribute parentheses

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

Simplify

x^{4} x^{4} + x^{4} (- x^{3}) + x^{4} x^{2} + x^{4} (- x) + x^{4} \cdot 1 + x^{3} x^{4} + x^{3} (- x^{3}) + x^{3} x^{2} + x^{3} (- x) + x^{3} \cdot 1 + x^{2} x^{4} + x^{2} (- x^{3}) + x^{2} x^{2} + x^{2} (- x) + x^{2} \cdot 1 + x x^{4} + x (- x^{3}) + x x^{2} + x (- x) + x \cdot 1 + 1 \cdot x^{4} + 1 \cdot (- x^{3}) + 1 \cdot x^{2} + 1 \cdot (- x) + 1 \cdot 1 : x^{8} + x^{6} + x^{4} + x^{2} + 1

= x^{8} + x^{6} + x^{4} + x^{2} + 1

(8 x + 5) (2 x - 2)

\frac{\partial}{\partial x} ((b) (3 x + b))

(- 1, i) (6 - 4 i)

0.5 (5 w i + 1) + (5 w i + 1) (39 w i + 1) + 38.38 k

(0.1 e^{0.1 x}) (x + 0.9)

What is expand (x^4+x^3+x^2+x+1)(x^4-x^3+x^2-x+1) ?
The solution to expand (x^4+x^3+x^2+x+1)(x^4-x^3+x^2-x+1) is x^8+x^6+x^4+x^2+1