What is ((3m)/4+1/6)(m/4+5/6) ?

The solution to ((3m)/4+1/6)(m/4+5/6) is ((9m+2)(3m+10))/(144)

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simplify ((3m)/4+1/6)(m/4+5/6)

simplify

(\frac{3 m}{4} + \frac{1}{6}) (\frac{m}{4} + \frac{5}{6})

\frac{( 9 m + 2 ) ( 3 m + 10 )}{144}

Solution steps

(\frac{3 m}{4} + \frac{1}{6}) (\frac{m}{4} + \frac{5}{6})

Join

\frac{3 m}{4} + \frac{1}{6} : \frac{9 m + 2}{12}

= \frac{9 m + 2}{12} (\frac{m}{4} + \frac{5}{6})

Apply the fraction rule:

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

= \frac{( 9 m + 2 ) ( \frac{m}{4} + \frac{5}{6} )}{12}

Simplify

(9 m + 2) (\frac{m}{4} + \frac{5}{6}) : \frac{( 9 m + 2 ) ( m \cdot 3 + 10 )}{12}

= \frac{\frac{( 9 m + 2 ) ( m \cdot 3 + 10 )}{12}}{12}

Apply the fraction rule:

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

= \frac{( 9 m + 2 ) ( m \cdot 3 + 10 )}{12 \cdot 12}

Multiply the numbers:

12 \cdot 12 = 144

= \frac{( 9 m + 2 ) ( m \cdot 3 + 10 )}{144}

= \frac{( 9 m + 2 ) ( 3 m + 10 )}{144}

\frac{a ^{2} + 16}{( a + 4 ) ( a - 4 )}

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

2 (- 1 + 3) (1 + 2)

- t^{2} (\frac{12 t}{625} - \frac{12}{125})

- x (\frac{12 t ^{12} ln ( t ) - t ^{12}}{1152 x ^{9}} + C)

What is ((3m)/4+1/6)(m/4+5/6) ?
The solution to ((3m)/4+1/6)(m/4+5/6) is ((9m+2)(3m+10))/(144)