What is expand (n^3+2n^2)(n^2-3n+8) ?

The solution to expand (n^3+2n^2)(n^2-3n+8) is n^5-n^4+2n^3+16n^2

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expand (n^3+2n^2)(n^2-3n+8)

expand

(n^{3} + 2 n^{2}) (n^{2} - 3 n + 8)

n^{5} - n^{4} + 2 n^{3} + 16 n^{2}

Solution steps

(n^{3} + 2 n^{2}) (n^{2} - 3 n + 8)

Distribute parentheses

= n^{3} n^{2} + n^{3} (- 3 n) + n^{3} \cdot 8 + 2 n^{2} n^{2} + 2 n^{2} (- 3 n) + 2 n^{2} \cdot 8

Simplify

n^{3} n^{2} + n^{3} (- 3 n) + n^{3} \cdot 8 + 2 n^{2} n^{2} + 2 n^{2} (- 3 n) + 2 n^{2} \cdot 8 : n^{5} - n^{4} + 2 n^{3} + 16 n^{2}

= n^{5} - n^{4} + 2 n^{3} + 16 n^{2}

7 x - 3 x

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

x^{3} y^{2} - x^{4} y^{2}

2 x^{3} + 3 x^{2} - 2 x - 3

- 1.25 + \frac{7}{2} - 4 π + 5 - 2

What is expand (n^3+2n^2)(n^2-3n+8) ?
The solution to expand (n^3+2n^2)(n^2-3n+8) is n^5-n^4+2n^3+16n^2