What is expand 2*tan(x)*(x^2+3)*sec^2(x) ?

The solution to expand 2*tan(x)*(x^2+3)*sec^2(x) is 2sec^2(x)x^2tan(x)+6sec^2(x)tan(x)

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expand 2tan(x)(x^2+3)*sec^2(x)

expand

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

2 sec^{2} (x) x^{2} tan (x) + 6 sec^{2} (x) tan (x)

Solution steps

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

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

Simplify

2 sec^{2} (x) tan (x) x^{2} + 2 sec^{2} (x) tan (x) \cdot 3 : 2 sec^{2} (x) x^{2} tan (x) + 6 sec^{2} (x) tan (x)

= 2 sec^{2} (x) x^{2} tan (x) + 6 sec^{2} (x) tan (x)

\frac{x + 0.693}{( x - 0.385 ) ^{2}}

\frac{10}{( s ^{2} + α s + β ) s}

\frac{4 w}{( s ^{2} + w ^{2} ) ( s ^{2} + 6 s + 25 )}

(z + 3 i)^{3}

\frac{x ( 3 x + x ^{2} - 9 )}{6}

What is expand 2*tan(x)*(x^2+3)*sec^2(x) ?
The solution to expand 2*tan(x)*(x^2+3)*sec^2(x) is 2sec^2(x)x^2tan(x)+6sec^2(x)tan(x)