What is (x+3/2)(x+1/2) ?

The solution to (x+3/2)(x+1/2) is ((2x+3)(2x+1))/4

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simplify (x+3/2)(x+1/2)

simplify

(x + \frac{3}{2}) (x + \frac{1}{2})

\frac{( 2 x + 3 ) ( 2 x + 1 )}{4}

Solution steps

(x + \frac{3}{2}) (x + \frac{1}{2})

Simplify

x + \frac{3}{2} : \frac{2 x + 3}{2}

= \frac{2 x + 3}{2} (x + \frac{1}{2})

Apply the fraction rule:

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

= \frac{( 2 x + 3 ) ( x + \frac{1}{2} )}{2}

Simplify

(2 x + 3) (x + \frac{1}{2}) : \frac{( 2 x + 3 ) ( x \cdot 2 + 1 )}{2}

= \frac{\frac{( 2 x + 3 ) ( x \cdot 2 + 1 )}{2}}{2}

Apply the fraction rule:

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

= \frac{( 2 x + 3 ) ( x \cdot 2 + 1 )}{2 \cdot 2}

Multiply the numbers:

2 \cdot 2 = 4

= \frac{( 2 x + 3 ) ( x \cdot 2 + 1 )}{4}

= \frac{( 2 x + 3 ) ( 2 x + 1 )}{4}

(e^{x} + 2) (e^{x} + \frac{1}{3})

\frac{( x + 5 ) ( x + 2 )}{x ^{2} - 7}

\frac{( 3 x ^{(2)} + 10 )}{( x ^{(2)} ( x ^{(4)} - 16 ) )}

(2 v w + w - v e^{- 2 v}) d v + v d w

e^{x} x^{2} + 2 x (e^{x} + 1)