What is expand-(2vy^2+v^2y^2)dy ?

The solution to expand-(2vy^2+v^2y^2)dy is -2vy^2dy-v^2y^2dy

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expand-(2vy^2+v^2y^2)dy

expand

- (2 v y^{2} + v^{2} y^{2}) d y

- 2 v y^{2} d y - v^{2} y^{2} d y

Solution steps

- (2 v y^{2} + v^{2} y^{2}) d y

Apply the distributive law:

a (b + c) = ab + a c

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

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

Apply minus-plus rules

+ (- a) = - a

= - 2 v y^{2} d y - v^{2} y^{2} d y

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(x - y)^{2} + (n - m)^{2}

What is expand-(2vy^2+v^2y^2)dy ?
The solution to expand-(2vy^2+v^2y^2)dy is -2vy^2dy-v^2y^2dy