What is expand 2sec^2(x)tan^2(x)(tan(x)+sec(x)) ?

The solution to expand 2sec^2(x)tan^2(x)(tan(x)+sec(x)) is 2sec^2(x)tan^3(x)+2sec^3(x)tan^2(x)

Popular >

expand 2sec^2(x)tan^2(x)(tan(x)+sec(x))

expand

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

2 sec^{2} (x) tan^{3} (x) + 2 sec^{3} (x) tan^{2} (x)

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

Simplify

2 sec^{2} (x) tan^{2} (x) tan (x) + 2 sec^{2} (x) tan^{2} (x) sec (x) : 2 sec^{2} (x) tan^{3} (x) + 2 sec^{3} (x) tan^{2} (x)

= 2 sec^{2} (x) tan^{3} (x) + 2 sec^{3} (x) tan^{2} (x)

\frac{x ^{n + 1}}{( n + 1 ) n !}

\frac{( 18 n - 7 ) ^{2}}{441}

52 (33 + 45)

\frac{3 x ^{2} - 10 x + 6}{2 - 3 x + 5 ( x ^{2} - 2 ) ^{\frac{3}{2}}}

(sec (B) - tan (B))^{2}

What is expand 2sec^2(x)tan^2(x)(tan(x)+sec(x)) ?
The solution to expand 2sec^2(x)tan^2(x)(tan(x)+sec(x)) is 2sec^2(x)tan^3(x)+2sec^3(x)tan^2(x)