What is (5+tan(x))(5-tan(x))+sec^2(x) ?

The solution to (5+tan(x))(5-tan(x))+sec^2(x) is 26

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simplify (5+tan(x))(5-tan(x))+sec^2(x)

simplify

(5 + tan (x)) (5 - tan (x)) + sec^{2} (x)

26

Solution steps

(5 + tan (x)) (5 - tan (x)) + sec^{2} (x)

Expand

(5 + tan (x)) (5 - tan (x)) : 25 - tan^{2} (x)

= 25 - tan^{2} (x) + sec^{2} (x)

Use the Pythagorean identity:

sec^{2} (x) = tan^{2} (x) + 1

sec^{2} (x) - tan^{2} (x) = 1

= 25 + 1

Add the numbers:

25 + 1 = 26

= 26

(32 - 3)^{5}

e^{(1 + i) t}

2 x (x - 2)

(a + h + a + h)^{2}

\frac{x ^{2} - 11 x + 6}{( x + 2 ) ( x ^{2} - 4 x + 4 )}

What is (5+tan(x))(5-tan(x))+sec^2(x) ?
The solution to (5+tan(x))(5-tan(x))+sec^2(x) is 26