What is sqrt(x^2y^3)+2sqrt(x^3y^4)+xysqrt(y) ?

The solution to sqrt(x^2y^3)+2sqrt(x^3y^4)+xysqrt(y) is 2xysqrt(y)+2xsqrt(x)y^2

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simplify sqrt(x^2y^3)+2sqrt(x^3y^4)+xysqrt(y)

simplify

x^{2} y^{3} + 2 x^{3} y^{4} + x y y

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

Solution steps

x^{2} y^{3} + 2 x^{3} y^{4} + x y y

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

2 x^{3} y^{4} = 2 x x y^{2}

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

Group like terms

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

Add similar elements:

x y y + x y y = 2 x y y

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

9 x^{2} = - 324

y^{2} - 3 y = 0

4 r + 8 + 5 = - 15 - 3 r

- (x + 8) = 2 (4 x + 5)

\frac{4 x - 1}{3} + 7 x + 110 = \frac{x + 3}{2} - 2 x

What is sqrt(x^2y^3)+2sqrt(x^3y^4)+xysqrt(y) ?
The solution to sqrt(x^2y^3)+2sqrt(x^3y^4)+xysqrt(y) is 2xysqrt(y)+2xsqrt(x)y^2