expandir (x^2+sin(x))(sec(x)tan(x))

Solução

expandir

(x^{2} + sin (x)) (sec (x) tan (x))

x^{2} sec (x) tan (x) + tan^{2} (x)

Passos da solução

(x^{2} + sin (x)) (sec (x) tan (x))

= (sec (x) tan (x)) (x^{2} + sin (x))

Colocar os parênteses utilizando:

a (b + c) = ab + a c

(sec (x) tan (x)) (x^{2} + sin (x)) = sec (x) tan (x) x^{2} + sec (x) tan (x) sin (x)

= sec (x) tan (x) x^{2} + sec (x) tan (x) sin (x)

Simplificar

sec (x) tan (x) x^{2} + sec (x) tan (x) sin (x) : x^{2} sec (x) tan (x) + tan^{2} (x)

= x^{2} sec (x) tan (x) + tan^{2} (x)

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

\frac{6}{( x - 6 ) ( x ^{2} - 4 )}

(x^{2} z + e^{\frac{y}{x}}) (2 z^{2} y - x y^{2})

\frac{( s + 1 )}{[ ( s + 3 ) ( s + 5 ) ]}

(5 - 3)^{2}