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

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

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expand (-y^2+1)dy

expand

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

- y^{2} d y + d y

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

Apply minus-plus rules

+ (- a) = - a

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

Multiply:

1 \cdot d y = d y

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

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