What is expand (x^2+(y-c)^2)dx ?

The solution to expand (x^2+(y-c)^2)dx is x^2dx+y^2dx-2cydx+c^2dx

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expand (x^2+(y-c)^2)dx

expand

(x^{2} + (y - c)^{2}) d x

x^{2} d x + y^{2} d x - 2 cy d x + c^{2} d x

Solution steps

(x^{2} + (y - c)^{2}) d x

Apply the distributive law:

a (b + c) = ab + a c

a = d x, b = x^{2}, c = (y - c)^{2}

= d x x^{2} + d x (y - c)^{2}

= x^{2} d x + d x (y - c)^{2}

Simplify

x^{2} d x + d x (y - c)^{2} : x^{2} d x + y^{2} d x - 2 cy d x + c^{2} d x

= x^{2} d x + y^{2} d x - 2 cy d x + c^{2} d x

\frac{d}{d x} ((5 x - 5) 32) - x^{34}

3 x + 2 (3, 1) + 2 (3, - 1) (- 2, 4) + x

f oco (0, - 3) v er t i ce (0, 0)

\frac{l ( 1 - cos ( t ) )}{t}

e^{x (x - 5)}

What is expand (x^2+(y-c)^2)dx ?
The solution to expand (x^2+(y-c)^2)dx is x^2dx+y^2dx-2cydx+c^2dx