What is expand (tan^2(14x)-cot^2(14x))^2 ?

The solution to expand (tan^2(14x)-cot^2(14x))^2 is tan^4(14x)-2tan^2(14x)cot^2(14x)+cot^4(14x)

Popular >

expand (tan^2(14x)-cot^2(14x))^2

expand

(tan^{2} (14 x) - cot^{2} (14 x))^{2}

tan^{4} (14 x) - 2 tan^{2} (14 x) cot^{2} (14 x) + cot^{4} (14 x)

Solution steps

(tan^{2} (14 x) - cot^{2} (14 x))^{2}

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

(tan^{2} (14 x) - cot^{2} (14 x))^{2} = (tan^{2} (14 x))^{2} - 2 tan^{2} (14 x) cot^{2} (14 x) + (cot^{2} (14 x))^{2}

= (tan^{2} (14 x))^{2} - 2 tan^{2} (14 x) cot^{2} (14 x) + (cot^{2} (14 x))^{2}

Simplify

(tan^{2} (14 x))^{2} - 2 tan^{2} (14 x) cot^{2} (14 x) + (cot^{2} (14 x))^{2} : tan^{4} (14 x) - 2 tan^{2} (14 x) cot^{2} (14 x) + cot^{4} (14 x)

= tan^{4} (14 x) - 2 tan^{2} (14 x) cot^{2} (14 x) + cot^{4} (14 x)

\frac{2 x - 9}{( s ^{2} + 9 ) ( s - 5 )}

- \frac{20 x ^{\frac{2}{3}} ( x ^{5} - 5 x ^{2} + 5 )}{3}

(3 x + 6 - 7)^{2}

(cot (2 x) - csc (2 x))^{2}

\frac{2 ( 21 + 2 14 )}{275}

What is expand (tan^2(14x)-cot^2(14x))^2 ?
The solution to expand (tan^2(14x)-cot^2(14x))^2 is tan^4(14x)-2tan^2(14x)cot^2(14x)+cot^4(14x)