What is expand (5x^2-4x-4x^3)cos(x) ?

The solution to expand (5x^2-4x-4x^3)cos(x) is 5x^2cos(x)-4xcos(x)-4x^3cos(x)

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expand (5x^2-4x-4x^3)cos(x)

expand

(5 x^{2} - 4 x - 4 x^{3}) cos (x)

5 x^{2} cos (x) - 4 x cos (x) - 4 x^{3} cos (x)

Solution steps

(5 x^{2} - 4 x - 4 x^{3}) cos (x)

= cos (x) (5 x^{2} - 4 x - 4 x^{3})

Apply the distributive law:

m (a + b + c) = ma + mb + m c

cos (x) (5 x^{2} - 4 x - 4 x^{3}) = cos (x) \cdot 5 x^{2} + cos (x) (- 4 x) + cos (x) (- 4 x^{3})

= cos (x) \cdot 5 x^{2} + cos (x) (- 4 x) + cos (x) (- 4 x^{3})

Simplify

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

= 5 x^{2} cos (x) - 4 x cos (x) - 4 x^{3} cos (x)

\frac{( n - 2 ) 180}{n}

12 (2 + \frac{2 i}{n})^{2} - 9

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

y^{\frac{5}{9}} (y^{\frac{1}{3}} - 4 y^{\frac{2}{9}})

x \cdot (csc (x) + cot (x)) - cos (x)

What is expand (5x^2-4x-4x^3)cos(x) ?
The solution to expand (5x^2-4x-4x^3)cos(x) is 5x^2cos(x)-4xcos(x)-4x^3cos(x)