What is expand (tan(θ)+1)^2 ?

The solution to expand (tan(θ)+1)^2 is tan^2(θ)+2tan(θ)+1

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expand (tan(θ)+1)^2

expand

(tan (θ) + 1)^{2}

tan^{2} (θ) + 2 tan (θ) + 1

Solution steps

(tan (θ) + 1)^{2}

Apply Perfect Square Formula:

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

(tan (θ) + 1)^{2} = tan^{2} (θ) + 2 tan (θ) \cdot 1 + 1^{2}

= tan^{2} (θ) + 2 tan (θ) \cdot 1 + 1^{2}

Simplify

tan^{2} (θ) + 2 tan (θ) \cdot 1 + 1^{2} : tan^{2} (θ) + 2 tan (θ) + 1

= tan^{2} (θ) + 2 tan (θ) + 1

(2 x^{6} + \frac{x ^{2}}{4})^{10}

(5 x^{3} + 3 x^{2}) (- 4 x + 5)^{10}

(q - \frac{3}{4}) (q + \frac{1}{4})

(2 - 2 i)^{7}

(2 x^{2} - \frac{1}{2})^{5}

What is expand (tan(θ)+1)^2 ?
The solution to expand (tan(θ)+1)^2 is tan^2(θ)+2tan(θ)+1