What is simplify-4x^2(x^3-(3x)/2+5/12) ?

The solution to simplify-4x^2(x^3-(3x)/2+5/12) is -(x^2(12x^3-18x+5))/3

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simplify-4x^2(x^3-(3x)/2+5/12)

simplify

- 4 x^{2} (x^{3} - \frac{3 x}{2} + \frac{5}{12})

- \frac{x ^{2} ( 12 x ^{3} - 18 x + 5 )}{3}

Solution steps

- 4 x^{2} (x^{3} - \frac{3 x}{2} + \frac{5}{12})

Simplify

x^{3} - \frac{3 x}{2} + \frac{5}{12} : \frac{12 x ^{3} - 18 x + 5}{12}

= - 4 x^{2} \frac{12 x ^{3} - 18 x + 5}{12}

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= - \frac{4 x ^{2} ( 12 x ^{3} - 18 x + 5 )}{12}

Cancel

- \frac{4 x ^{2} ( 12 x ^{3} - 18 x + 5 )}{12} : - \frac{x ^{2} ( 12 x ^{3} - 18 x + 5 )}{3}

= - \frac{x ^{2} ( 12 x ^{3} - 18 x + 5 )}{3}

(1 + sin (x) + cos (x))^{2}

\frac{1}{( a x + b ) ( a x - 2 b )}

(x^{2} - 2) (x - 3)

cot (θ) (\frac{1}{3 cos ( θ )} + tan (θ))

1 - cos (x) (1 + cos (x))

What is simplify-4x^2(x^3-(3x)/2+5/12) ?
The solution to simplify-4x^2(x^3-(3x)/2+5/12) is -(x^2(12x^3-18x+5))/3