What is expand (5cot(x)+4)^2 ?

The solution to expand (5cot(x)+4)^2 is 25cot^2(x)+40cot(x)+16

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expand (5cot(x)+4)^2

expand

(5 cot (x) + 4)^{2}

25 cot^{2} (x) + 40 cot (x) + 16

Solution steps

(5 cot (x) + 4)^{2}

Apply Perfect Square Formula:

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

(5 cot (x) + 4)^{2} = (5 cot (x))^{2} + 2 \cdot 5 cot (x) \cdot 4 + 4^{2}

= (5 cot (x))^{2} + 2 \cdot 5 cot (x) \cdot 4 + 4^{2}

Simplify

(5 cot (x))^{2} + 2 \cdot 5 cot (x) \cdot 4 + 4^{2} : 25 cot^{2} (x) + 40 cot (x) + 16

= 25 cot^{2} (x) + 40 cot (x) + 16

\frac{35 x + 23}{( x ^{3} + 1 ) ( x - 1 )}

cos (x) (x^{2} - 1)

(x + 5) l e f t (x + 2)

\frac{8}{( 1 - 3 x ) ^{2}}

\frac{( k + 1 ) ^{4}}{4}

What is expand (5cot(x)+4)^2 ?
The solution to expand (5cot(x)+4)^2 is 25cot^2(x)+40cot(x)+16