What is expand (2n^2+5n+4)(2n-4) ?

The solution to expand (2n^2+5n+4)(2n-4) is 4n^3+2n^2-12n-16

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expand (2n^2+5n+4)(2n-4)

expand

(2 n^{2} + 5 n + 4) (2 n - 4)

4 n^{3} + 2 n^{2} - 12 n - 16

Solution steps

(2 n^{2} + 5 n + 4) (2 n - 4)

Distribute parentheses

= 2 n^{2} \cdot 2 n + 2 n^{2} (- 4) + 5 n \cdot 2 n + 5 n (- 4) + 4 \cdot 2 n + 4 (- 4)

Simplify

2 n^{2} \cdot 2 n + 2 n^{2} (- 4) + 5 n \cdot 2 n + 5 n (- 4) + 4 \cdot 2 n + 4 (- 4) : 4 n^{3} + 2 n^{2} - 12 n - 16

= 4 n^{3} + 2 n^{2} - 12 n - 16

65 \cdot 3

(f x)^{3} - 1

x^{2} yz + 3 x y^{2} z - 2 x y z^{2} - 3 x y^{2} z + x y z^{2} - x^{2} yz

\frac{2 x ^{3} - 3 x ^{2} + x - 6}{( x - 2 )}

What is expand (2n^2+5n+4)(2n-4) ?
The solution to expand (2n^2+5n+4)(2n-4) is 4n^3+2n^2-12n-16