What is expand (9x^2-6x+81)arccsc(9x^2) ?

The solution to expand (9x^2-6x+81)arccsc(9x^2) is 9x^2arccsc(9x^2)-6xarccsc(9x^2)+81arccsc(9x^2)

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expand (9x^2-6x+81)arccsc(9x^2)

expand

(9 x^{2} - 6 x + 81) arccsc (9 x^{2})

9 x^{2} arccsc (9 x^{2}) - 6 x arccsc (9 x^{2}) + 81 arccsc (9 x^{2})

Solution steps

(9 x^{2} - 6 x + 81) arccsc (9 x^{2})

= arccsc (9 x^{2}) (9 x^{2} - 6 x + 81)

Apply the distributive law:

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

arccsc (9 x^{2}) (9 x^{2} - 6 x + 81) = arccsc (9 x^{2}) \cdot 9 x^{2} + arccsc (9 x^{2}) (- 6 x) + arccsc (9 x^{2}) \cdot 81

= arccsc (9 x^{2}) \cdot 9 x^{2} + arccsc (9 x^{2}) (- 6 x) + arccsc (9 x^{2}) \cdot 81

Simplify

arccsc (9 x^{2}) \cdot 9 x^{2} + arccsc (9 x^{2}) (- 6 x) + arccsc (9 x^{2}) \cdot 81 : 9 x^{2} arccsc (9 x^{2}) - 6 x arccsc (9 x^{2}) + 81 arccsc (9 x^{2})

= 9 x^{2} arccsc (9 x^{2}) - 6 x arccsc (9 x^{2}) + 81 arccsc (9 x^{2})

((x + Δ x)^{2} - 2)^{2}

x^{2} + y^{2} (x^{2} + y^{2})

(- cos (x) - sin (x)) (- sin (x) + cos (x) + 2)

(3 x y^{2} - 4 y) + (3 x - 4 x^{2} y) y^{'} (x)

(x - 4) (x - \frac{2}{3})

What is expand (9x^2-6x+81)arccsc(9x^2) ?
The solution to expand (9x^2-6x+81)arccsc(9x^2) is 9x^2arccsc(9x^2)-6xarccsc(9x^2)+81arccsc(9x^2)