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

The solution to expand (x-5)(x^2+4x-2) is x^3-x^2-22x+10

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

expand

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

x^{3} - x^{2} - 22 x + 10

Solution steps

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

Distribute parentheses

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

Simplify

x x^{2} + x \cdot 4 x + x (- 2) - 5 x^{2} - 5 \cdot 4 x - 5 (- 2) : x^{3} - x^{2} - 22 x + 10

= x^{3} - x^{2} - 22 x + 10

(\frac{sin ( x )}{cos ( x )})^{2}

(x + 2 x)^{2}

\frac{1}{2} + \frac{1}{2}

\frac{csc ( θ )}{sec ( θ )}

\frac{1}{2} (10)

What is expand (x-5)(x^2+4x-2) ?
The solution to expand (x-5)(x^2+4x-2) is x^3-x^2-22x+10