What is expand (r^3+s^3)dr+s^2(3r+ks)ds ?

The solution to expand (r^3+s^3)dr+s^2(3r+ks)ds is r^3dr+s^3dr+3rs^2ds+ks^3ds

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expand (r^3+s^3)dr+s^2(3r+ks)ds

expand

(r^{3} + s^{3}) d r + s^{2} (3 r + k s) d s

r^{3} d r + s^{3} d r + 3 r s^{2} d s + k s^{3} d s

Solution steps

(r^{3} + s^{3}) d r + s^{2} (3 r + k s) d s

Expand

d r (r^{3} + s^{3}) : r^{3} d r + s^{3} d r

= r^{3} d r + s^{3} d r + s^{2} (3 r + k s) d s

Expand

s^{2} d s (3 r + k s) : 3 r s^{2} d s + k s^{3} d s

= r^{3} d r + s^{3} d r + 3 r s^{2} d s + k s^{3} d s

x (x - 1)

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

(e^{3 t} + 4 e^{- 2 t})^{2}

5 (3 + π)

A (5, 1) y B (7, - 7)

What is expand (r^3+s^3)dr+s^2(3r+ks)ds ?
The solution to expand (r^3+s^3)dr+s^2(3r+ks)ds is r^3dr+s^3dr+3rs^2ds+ks^3ds