What is expand (sec(x)+tan(x))^3 ?

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

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expand (sec(x)+tan(x))^3

expand

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

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

Solution steps

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

Apply Perfect Cube Formula:

(a + b)^{3} = a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3}

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

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

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

\frac{n ( 3 + n )}{18}

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lo g_{2} (8 x^{(2)} + 80 x + 200)

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

2 (4 x)

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