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

The solution to expand (n^2-2n+1)(n^2-1) is n^4-2n^3+2n-1

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

expand

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

n^{4} - 2 n^{3} + 2 n - 1

Solution steps

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

Distribute parentheses

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

Simplify

n^{2} n^{2} + n^{2} (- 1) - 2 n n^{2} - 2 n (- 1) + 1 \cdot n^{2} + 1 \cdot (- 1) : n^{4} - 2 n^{3} + 2 n - 1

= n^{4} - 2 n^{3} + 2 n - 1

\frac{8 x y}{2 x ^{3} y ^{7}}

125 \frac{1}{3}

1 - e^{- \frac{3}{4}}

(\frac{1}{3})^{7}

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