What is expand (-y^2+1)dx ?

The solution to expand (-y^2+1)dx is -y^2dx+dx

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expand (-y^2+1)dx

expand

(- y^{2} + 1) d x

- y^{2} d x + d x

Solution steps

(- y^{2} + 1) d x

Apply the distributive law:

a (b + c) = ab + a c

a = d x, b = - y^{2}, c = 1

= d x (- y^{2}) + d x \cdot 1

Apply minus-plus rules

+ (- a) = - a

= - y^{2} d x + 1 \cdot d x

Multiply:

1 \cdot d x = d x

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

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