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Popular >

expand (2xy^3-6x^2y^2)dx+(3x^2y^2-4x^3y)dy

Solution

expand

(2 x y^{3} - 6 x^{2} y^{2}) d x + (3 x^{2} y^{2} - 4 x^{3} y) d y

Solution

2 x y^{3} d x - 6 x^{2} y^{2} d x + 3 x^{2} y^{2} d y - 4 x^{3} y d y

Solution steps

(2 x y^{3} - 6 x^{2} y^{2}) d x + (3 x^{2} y^{2} - 4 x^{3} y) d y

Expand

d x (2 x y^{3} - 6 x^{2} y^{2}) : 2 x y^{3} d x - 6 x^{2} y^{2} d x

= 2 x y^{3} d x - 6 x^{2} y^{2} d x + (3 x^{2} y^{2} - 4 x^{3} y) d y

Expand

d y (3 x^{2} y^{2} - 4 x^{3} y) : 3 x^{2} y^{2} d y - 4 x^{3} y d y

= 2 x y^{3} d x - 6 x^{2} y^{2} d x + 3 x^{2} y^{2} d y - 4 x^{3} y d y

Popular Examples

expand (50s(20s+200))/((s+1)(s^2+100s+10000))expand

\frac{50 s ( 20 s + 200 )}{( s + 1 ) ( s ^{2} + 100 s + 10000 )}

expand-((2c-10)^2)/(104)+50 expand

- \frac{( 2 c - 10 ) ^{2}}{104} + 50

d/(dt)((x)(5.8t+9.7t^2))

\frac{d}{d t} ((x) (5.8 t + 9.7 t^{2}))

expand (5x-105)/(7(x+3))expand

\frac{5 x - 105}{7 ( x + 3 )}

((-420t^2-2t+2940))/((t^2+7)^2)

\frac{( - 420 t ^{2} - 2 t + 2940 )}{( t ^{2} + 7 ) ^{2}}

Frequently Asked Questions (FAQ)

What is expand (2xy^3-6x^2y^2)dx+(3x^2y^2-4x^3y)dy ?
The solution to expand (2xy^3-6x^2y^2)dx+(3x^2y^2-4x^3y)dy is 2xy^3dx-6x^2y^2dx+3x^2y^2dy-4x^3ydy