What is 5x(x+3/4)(x-1/2) ?

The solution to 5x(x+3/4)(x-1/2) is (5x(4x+3)(2x-1))/8

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simplify 5x(x+3/4)(x-1/2)

simplify

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

\frac{5 x ( 4 x + 3 ) ( 2 x - 1 )}{8}

Solution steps

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

Simplify

x + \frac{3}{4} : \frac{4 x + 3}{4}

= 5 x \frac{4 x + 3}{4} (x - \frac{1}{2})

Apply the fraction rule:

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

= \frac{5 x ( 4 x + 3 ) ( x - \frac{1}{2} )}{4}

Simplify

5 x (4 x + 3) (x - \frac{1}{2}) : \frac{5 x ( 4 x + 3 ) ( x \cdot 2 - 1 )}{2}

= \frac{\frac{5 x ( 4 x + 3 ) ( x \cdot 2 - 1 )}{2}}{4}

Apply the fraction rule:

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

= \frac{5 x ( 4 x + 3 ) ( x \cdot 2 - 1 )}{2 \cdot 4}

Multiply the numbers:

2 \cdot 4 = 8

= \frac{5 x ( 4 x + 3 ) ( x \cdot 2 - 1 )}{8}

= \frac{5 x ( 4 x + 3 ) ( 2 x - 1 )}{8}

(a x - b y) (c x + d y)

(5 + 5 i)^{5}

\frac{10}{( x + 2 ) ^{2}}

\frac{d ^{2}}{d x ^{2}} ((2 x + 1)^{4}) + 8 x (2 x + 1)^{3}

\frac{2 x - 5}{x ( x - 3 )}

What is 5x(x+3/4)(x-1/2) ?
The solution to 5x(x+3/4)(x-1/2) is (5x(4x+3)(2x-1))/8