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

The solution to ((4x)/5-1/2)((4x)/5+1/2) is ((8x-5)(8x+5))/(100)

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

simplify

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

\frac{( 8 x - 5 ) ( 8 x + 5 )}{100}

Solution steps

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

Join

\frac{4 x}{5} - \frac{1}{2} : \frac{8 x - 5}{10}

= \frac{8 x - 5}{10} (\frac{4 x}{5} + \frac{1}{2})

Apply the fraction rule:

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

= \frac{( 8 x - 5 ) ( \frac{4 x}{5} + \frac{1}{2} )}{10}

Simplify

(8 x - 5) (\frac{4 x}{5} + \frac{1}{2}) : \frac{( 8 x - 5 ) ( 8 x + 5 )}{10}

= \frac{\frac{( 8 x - 5 ) ( 8 x + 5 )}{10}}{10}

Apply the fraction rule:

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

= \frac{( 8 x - 5 ) ( 8 x + 5 )}{10 \cdot 10}

Multiply the numbers:

10 \cdot 10 = 100

= \frac{( 8 x - 5 ) ( 8 x + 5 )}{100}

\frac{( - W x ^{2} - P x + W Lx + P L ) ( L - x )}{4}

60 k (1 - (\frac{k}{360}))

\frac{( n + 1 ) ( n ^{2} + 10 )}{n ( n ^{2} + 2 n + 11 )}

6 (\frac{4 x ^{3}}{3} - 2 x^{2} + x) - sin (x^{2}) - x^{\frac{7}{3}} + C

\frac{2 s ^{2} + 1}{s ^{3} ( s ^{2} + 1 )}

What is ((4x)/5-1/2)((4x)/5+1/2) ?
The solution to ((4x)/5-1/2)((4x)/5+1/2) is ((8x-5)(8x+5))/(100)