What is (t-1/2)(t-3/4) ?

The solution to (t-1/2)(t-3/4) is ((2t-1)(4t-3))/8

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simplify (t-1/2)(t-3/4)

simplify

(t - \frac{1}{2}) (t - \frac{3}{4})

\frac{( 2 t - 1 ) ( 4 t - 3 )}{8}

Solution steps

(t - \frac{1}{2}) (t - \frac{3}{4})

Simplify

t - \frac{1}{2} : \frac{2 t - 1}{2}

= \frac{2 t - 1}{2} (t - \frac{3}{4})

Apply the fraction rule:

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

= \frac{( 2 t - 1 ) ( t - \frac{3}{4} )}{2}

Simplify

(2 t - 1) (t - \frac{3}{4}) : \frac{( 2 t - 1 ) ( t \cdot 4 - 3 )}{4}

= \frac{\frac{( 2 t - 1 ) ( t \cdot 4 - 3 )}{4}}{2}

Apply the fraction rule:

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

= \frac{( 2 t - 1 ) ( t \cdot 4 - 3 )}{4 \cdot 2}

Multiply the numbers:

4 \cdot 2 = 8

= \frac{( 2 t - 1 ) ( t \cdot 4 - 3 )}{8}

= \frac{( 2 t - 1 ) ( 4 t - 3 )}{8}

(2 - x)^{3} (1 - \frac{1}{x})^{2}

\frac{6 c ( a - 3 ) ( c + 4 )}{( a - 1 ) ( c + 5 )}

x^{\frac{2}{3}} (x - 3)

(\frac{d x}{y}) - (2 y - \frac{x}{y ^{2}}) d y

\frac{( x - 2 ) ^{2}}{x}