What is expand (4x-5)(x^2+4x+1) ?

The solution to expand (4x-5)(x^2+4x+1) is 4x^3+11x^2-16x-5

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expand (4x-5)(x^2+4x+1)

expand

(4 x - 5) (x^{2} + 4 x + 1)

4 x^{3} + 11 x^{2} - 16 x - 5

Solution steps

(4 x - 5) (x^{2} + 4 x + 1)

Distribute parentheses

= 4 x x^{2} + 4 x \cdot 4 x + 4 x \cdot 1 - 5 x^{2} - 5 \cdot 4 x - 5 \cdot 1

Simplify

4 x x^{2} + 4 x \cdot 4 x + 4 x \cdot 1 - 5 x^{2} - 5 \cdot 4 x - 5 \cdot 1 : 4 x^{3} + 11 x^{2} - 16 x - 5

= 4 x^{3} + 11 x^{2} - 16 x - 5

2 x^{3} - 54 y^{3}

\frac{\frac{2}{3}}{\frac{5}{3}}

\frac{7}{6 x} - \frac{9}{2 x}

4 x^{2} + 12 x - 27

4 160 x^{3} + 7 x 40 x

What is expand (4x-5)(x^2+4x+1) ?
The solution to expand (4x-5)(x^2+4x+1) is 4x^3+11x^2-16x-5