What is expand (sec^2(x)+1)^2 ?

The solution to expand (sec^2(x)+1)^2 is sec^4(x)+2sec^2(x)+1

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expand (sec^2(x)+1)^2

expand

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

sec^{4} (x) + 2 sec^{2} (x) + 1

Solution steps

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

Apply Perfect Square Formula:

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

(sec^{2} (x) + 1)^{2} = (sec^{2} (x))^{2} + 2 sec^{2} (x) \cdot 1 + 1^{2}

= (sec^{2} (x))^{2} + 2 sec^{2} (x) \cdot 1 + 1^{2}

Simplify

(sec^{2} (x))^{2} + 2 sec^{2} (x) \cdot 1 + 1^{2} : sec^{4} (x) + 2 sec^{2} (x) + 1

= sec^{4} (x) + 2 sec^{2} (x) + 1

\frac{10 ( 1229 - 2 )}{49}

\frac{- e ^{ik} ( ik - 1 ) + e ^{- ik} ( - ik - 1 )}{k ^{2}}

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(\frac{1}{x} + 2)^{2}

(y + 1) (x^{2} + ln (x))

What is expand (sec^2(x)+1)^2 ?
The solution to expand (sec^2(x)+1)^2 is sec^4(x)+2sec^2(x)+1