What is expand-(x^2+3y^2)dy ?

The solution to expand-(x^2+3y^2)dy is -x^2dy-3y^2dy

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expand-(x^2+3y^2)dy

expand

- (x^{2} + 3 y^{2}) d y

- x^{2} d y - 3 y^{2} d y

Solution steps

- (x^{2} + 3 y^{2}) d y

Apply the distributive law:

a (b + c) = ab + a c

a = - d y, b = x^{2}, c = 3 y^{2}

= - d y x^{2} + (- d y) \cdot 3 y^{2}

Apply minus-plus rules

+ (- a) = - a

= - x^{2} d y - 3 y^{2} d y

(A B^{^{'}} + C) (A + B)

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

\frac{\partial}{\partial x} ((z) (5 x y - 4 x + 5 y^{3}))

\frac{2 x - 1}{( x - 1 ) ^{2}}

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

What is expand-(x^2+3y^2)dy ?
The solution to expand-(x^2+3y^2)dy is -x^2dy-3y^2dy