What is expand (sec(x)-1)(sex+1) ?

The solution to expand (sec(x)-1)(sex+1) is exssec(x)+sec(x)-exs-1

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expand (sec(x)-1)(sex+1)

expand

(sec (x) - 1) (se x + 1)

e x s sec (x) + sec (x) - e x s - 1

Solution steps

(sec (x) - 1) (se x + 1)

= (sec (x) - 1) (e x s + 1)

Apply FOIL method:

(a + b) (c + d) = a c + a d + b c + b d

a = sec (x), b = - 1, c = se x, d = 1

= sec (x) se x + sec (x) \cdot 1 + (- 1) se x + (- 1) \cdot 1

Apply minus-plus rules

+ (- a) = - a

= e x s sec (x) + 1 \cdot sec (x) - 1 e x s - 1 \cdot 1

Simplify

e x s sec (x) + 1 \cdot sec (x) - 1 e x s - 1 \cdot 1 : e x s sec (x) + sec (x) - e x s - 1

= e x s sec (x) + sec (x) - e x s - 1

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

x - 5 - cos (x - 6) + ln (x - 5) + (x - 6)^{2}

(x^{2} + 3 x) (ln (x))^{'}

(2 x + 4 x + 1)^{2}

(x - 2 + 6)^{2}

What is expand (sec(x)-1)(sex+1) ?
The solution to expand (sec(x)-1)(sex+1) is exssec(x)+sec(x)-exs-1