What is ((x^2)/4)/(x/(4x+4)) ?

The solution to ((x^2)/4)/(x/(4x+4)) is x(x+1)

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simplify ((x^2)/4)/(x/(4x+4))

simplify

\frac{\frac{x ^{2}}{4}}{\frac{x}{4 x + 4}}

x (x + 1)

Solution steps

\frac{\frac{x ^{2}}{4}}{\frac{x}{4 x + 4}}

Apply the fraction rule:

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

= \frac{x ^{2} ( 4 x + 4 )}{4 x}

Cancel

\frac{x ^{2} ( 4 x + 4 )}{4 x} : x (x + 1)

= x (x + 1)

\frac{6 x ^{2}}{2}

\frac{x - 5}{x ^{2} + 10 x + 16} + \frac{5 x + 1}{x ^{2} + 7 x + 10}

9 1^{2}

\frac{( \frac{1}{6} + \frac{3}{7} )}{( \frac{2}{3} ) ^{2} + \frac{1}{5} - 1}

8^{2} + 7^{2}