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

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

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expand (1+x^2+y^2+x^2y^2)dy

expand

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

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

Solution steps

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

Distribute parentheses

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

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

Multiply:

1 \cdot d y = d y

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

\frac{x - 7}{( x + 1 ) ( x - 2 )}

\frac{( y + z ) ^{2} - 4}{y}

sin ((x + y) sin (x - y))

\frac{2 x + 3}{( x + 1 ) ( x + 2 )}

(x + 4) e^{3}

What is expand (1+x^2+y^2+x^2y^2)dy ?
The solution to expand (1+x^2+y^2+x^2y^2)dy is dy+x^2dy+y^2dy+x^2y^2dy