What is expand (a^2+a+1)(a^2-a+1) ?

The solution to expand (a^2+a+1)(a^2-a+1) is a^4+a^2+1

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expand (a^2+a+1)(a^2-a+1)

expand

(a^{2} + a + 1) (a^{2} - a + 1)

a^{4} + a^{2} + 1

Solution steps

(a^{2} + a + 1) (a^{2} - a + 1)

Distribute parentheses

= a^{2} a^{2} + a^{2} (- a) + a^{2} \cdot 1 + a a^{2} + a (- a) + a \cdot 1 + 1 \cdot a^{2} + 1 \cdot (- a) + 1 \cdot 1

Simplify

a^{2} a^{2} + a^{2} (- a) + a^{2} \cdot 1 + a a^{2} + a (- a) + a \cdot 1 + 1 \cdot a^{2} + 1 \cdot (- a) + 1 \cdot 1 : a^{4} + a^{2} + 1

= a^{4} + a^{2} + 1

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

x^{4} y^{4} - 256 z^{4}

(4 n^{4})^{5}

(\frac{2}{3 \cdot x + 3})^{2}

\frac{a ^{2}}{b ^{2}} + \frac{\frac{1}{a}}{\frac{a}{b}} - b - \frac{a}{a} - b

What is expand (a^2+a+1)(a^2-a+1) ?
The solution to expand (a^2+a+1)(a^2-a+1) is a^4+a^2+1