展开 x(xy^2+x^2=sqrt(x+3y))

解答

展开

x (x y^{2} + x^{2} = x + 3 y)

x^{2} y^{2} + x^{3} = x + 3 y

求解步骤

x (x y^{2} + x^{2} = x + 3 y)

= x (x y^{2} + = x^{2} x + 3 y)

使用分配律:

a (b + c) = ab + a c

a = x, b = x y^{2}, c = x^{2} = x + 3 y

xx y^{2} + x x^{2} = x + 3 y

xx y^{2} + x^{2} x = x + 3 y

乘开

xx y^{2} + x^{2} x : x^{2} y^{2} + x^{3}

x^{2} y^{2} + x^{3} = x + 3 y

e x p an d \frac{2 y ^{2} - 2 x ^{2}}{( x ^{2} + y ^{2} ) ^{2}}

e x p an d \frac{4 - e ^{- t}}{( e ^{- t} + 1 ) ( e ^{- t} + 2 )}

\frac{\partial}{\partial y} ((x) (y^{4} + 3 y - 4 x^{3} - 5 x))

e x p an d (p + Δ p)^{2}

e x p an d \frac{( 2 - x ) ^{4}}{16}