What is [((5xy+5x^3y))/(5x)]+5y ?

The solution to [((5xy+5x^3y))/(5x)]+5y is 6y+x^2y

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simplify [((5xy+5x^3y))/(5x)]+5y

simplify

[\frac{( 5 x y + 5 x ^{3} y )}{5 x}] + 5 y

6 y + x^{2} y

Solution steps

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

Apply rule:

(a) = a

(\frac{5 x y + 5 x ^{3} y}{5 x}) = \frac{5 x y + 5 x ^{3} y}{5 x}

= \frac{5 x y + 5 x ^{3} y}{5 x} + 5 y

Cancel

\frac{5 x y + 5 x ^{3} y}{5 x} : y (1 + x^{2})

= y (1 + x^{2}) + 5 y

Expand

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

= y + x^{2} y + 5 y

Group like terms

= y + 5 y + x^{2} y

Add similar elements:

y + 5 y = 6 y

= 6 y + x^{2} y

\frac{7}{49}

19 2^{\frac{1}{3}}

488 + (87 - x)

\frac{a ^{2} - 6 a + 9}{a ^{2} - 1} \cdot \frac{- 2 a + 2}{2 a - 6}

2 x^{3} + 3 x^{2} - 5 x - 6

What is [((5xy+5x^3y))/(5x)]+5y ?
The solution to [((5xy+5x^3y))/(5x)]+5y is 6y+x^2y