What is expand (x-4)(1/2 x^2+3x+4) ?

The solution to expand (x-4)(1/2 x^2+3x+4) is x^2-8x+(x^3)/2-16

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expand (x-4)(1/2 x^2+3x+4)

expand

(x - 4) (\frac{1}{2} x^{2} + 3 x + 4)

x^{2} - 8 x + \frac{x ^{3}}{2} - 16

Solution steps

(x - 4) (\frac{1}{2} x^{2} + 3 x + 4)

Distribute parentheses

= x \frac{1}{2} x^{2} + x \cdot 3 x + x \cdot 4 - 4 \cdot \frac{1}{2} x^{2} - 4 \cdot 3 x - 4 \cdot 4

Simplify

x \frac{1}{2} x^{2} + x \cdot 3 x + x \cdot 4 - 4 \cdot \frac{1}{2} x^{2} - 4 \cdot 3 x - 4 \cdot 4 : x^{2} - 8 x + \frac{x ^{3}}{2} - 16

= x^{2} - 8 x + \frac{x ^{3}}{2} - 16

\frac{d x}{x ( x + 1 )}

\frac{( x ^{3} + x ^{2} + 2 x + 6 )}{( x ^{2} + 1 ) ^{2}}

(e^{(- 2 t)} - e^{(2 t)})^{2}

\frac{3 x + 4}{x ( x + 1 ) ( x - 1 )}

(2 + - y^{2} + y - 4)^{2}

What is expand (x-4)(1/2 x^2+3x+4) ?
The solution to expand (x-4)(1/2 x^2+3x+4) is x^2-8x+(x^3)/2-16