What is (\frac{2x+y)/(36)}{(36+36x-7x^2)/(288)} ?

The solution to (\frac{2x+y)/(36)}{(36+36x-7x^2)/(288)} is (8(2x+y))/(36+36x-7x^2)

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simplify (\frac{2x+y)/(36)}{(36+36x-7x^2)/(288)}

simplify

\frac{\frac{2 x + y}{36}}{\frac{36 + 36 x - 7 x ^{2}}{288}}

\frac{8 ( 2 x + y )}{36 + 36 x - 7 x ^{2}}

Solution steps

\frac{\frac{2 x + y}{36}}{\frac{36 + 36 x - 7 x ^{2}}{288}}

Apply the fraction rule:

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

= \frac{( 2 x + y ) \cdot 288}{36 ( 36 + 36 x - 7 x ^{2} )}

Cancel

\frac{( 2 x + y ) \cdot 288}{36 ( 36 + 36 x - 7 x ^{2} )} : \frac{( 2 x + y ) \cdot 8}{36 + 36 x - 7 x ^{2}}

= \frac{( 2 x + y ) \cdot 8}{36 + 36 x - 7 x ^{2}}

= \frac{8 ( 2 x + y )}{36 + 36 x - 7 x ^{2}}

- \frac{11}{2 ( - 3 + 4 ) ^{2}}

392

x^{2} < x + 42

x^{2} - 16 x + 128 = 0

\frac{10 !}{( 10 - 3 ) ! 3 !}

What is (\frac{2x+y)/(36)}{(36+36x-7x^2)/(288)} ?
The solution to (\frac{2x+y)/(36)}{(36+36x-7x^2)/(288)} is (8(2x+y))/(36+36x-7x^2)