What is expand (sec(2(x+y))-sec(2x))/y ?

The solution to expand (sec(2(x+y))-sec(2x))/y is (sec(2x+2y))/y-(sec(2x))/y

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expand (sec(2(x+y))-sec(2x))/y

expand

\frac{sec ( 2 ( x + y ) ) - sec ( 2 x )}{y}

\frac{sec ( 2 x + 2 y )}{y} - \frac{sec ( 2 x )}{y}

Solution steps

\frac{sec ( 2 ( x + y ) ) - sec ( 2 x )}{y}

Expand

2 (x + y) : 2 x + 2 y

= \frac{sec ( 2 x + 2 y ) - sec ( 2 x )}{y}

Apply the fraction rule:

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

\frac{sec ( 2 x + 2 y ) - sec ( 2 x )}{y} = \frac{sec ( 2 x + 2 y )}{y} - \frac{sec ( 2 x )}{y}

= \frac{sec ( 2 x + 2 y )}{y} - \frac{sec ( 2 x )}{y}

\frac{3 e ^{83}}{16} (x - 64)

(x - 6) (x - 4)

(2 sech^{2} (x)) (1 - 2 tanh (x))

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

(1 + 2 sin (t)) (2 cos (t))

What is expand (sec(2(x+y))-sec(2x))/y ?
The solution to expand (sec(2(x+y))-sec(2x))/y is (sec(2x+2y))/y-(sec(2x))/y