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}

(cos (4 x) + cos (3 x))^{2}

4 (1 - cos (θ))

sin (\frac{( 2 n - 1 ) π}{2})

(- 2 + 2 i 3)^{4}

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)