What is expand (x^2+x)/5*(25)/(xy+y) ?

The solution to expand (x^2+x)/5*(25)/(xy+y) is (5x)/y

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expand (x^2+x)/5*(25)/(xy+y)

expand

\frac{x ^{2} + x}{5} \cdot \frac{25}{x y + y}

\frac{5 x}{y}

Solution steps

\frac{x ^{2} + x}{5} \cdot \frac{25}{x y + y}

Multiply fractions:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{( x ^{2} + x ) \cdot 25}{5 ( x y + y )}

Divide the numbers:

\frac{25}{5} = 5

= \frac{5 ( x ^{2} + x )}{( x y + y )}

Factor

5 (x^{2} + x) : 5 x (x + 1)

= \frac{5 x ( x + 1 )}{( x y + y )}

Factor

(x y + y) : y (x + 1)

= \frac{5 x ( x + 1 )}{y ( x + 1 )}

Cancel the common factor:

x + 1

= \frac{5 x}{y}

(10 + tan (x)) (10 - tan (x)) + sec^{2} (x)

(3 e^{3 t} - 3 e^{t}) (- 0.5 e^{- 3 t} + 0.5 e^{- t})

\frac{4 ( 4 x + 3 )}{( 4 x + 9 ) ^{3}}

(- 2 - 3 i)^{6}

3 (27 - 22) + 36

What is expand (x^2+x)/5*(25)/(xy+y) ?
The solution to expand (x^2+x)/5*(25)/(xy+y) is (5x)/y