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

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

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expand-y(1-x^2)dy

expand

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

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

Solution steps

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

Apply the distributive law:

a (b - c) = ab - a c

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

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

Apply minus-plus rules

- (- a) = a

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

Multiply:

1 \cdot y = y

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

\frac{( - x + 6 )}{9 ( x + 3 ) ^{2}}

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

f^{'} (x) (4 + \frac{4}{x})

(2 tan (x) - cot (x))^{2} d x

\frac{π}{3} \cdot 6