What is (5-cot(a))^2(1+cos(a))^2 ?

The solution to (5-cot(a))^2(1+cos(a))^2 is (-cot(a)+5)^2(cos(a)+1)^2

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simplify (5-cot(a))^2(1+cos(a))^2

simplify

(5 - cot (a))^{2} (1 + cos (a))^{2}

(- cot (a) + 5)^{2} (cos (a) + 1)^{2}

Solution steps

(5 - cot (a))^{2} (1 + cos (a))^{2}

Apply exponent rule:

a^{m} b^{m} = (ab)^{m},

assuming

a \geq 0, b \geq 0

(- cot (a) + 5)^{2} (cos (a) + 1)^{2} = ((- cot (a) + 5) (cos (a) + 1))^{2}

= ((- cot (a) + 5) (cos (a) + 1))^{2}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

= (- cot (a) + 5)^{2} (cos (a) + 1)^{2}

e^{- 3 x} (2 e^{2 x})

(23 + 35) (23 + 35)

What is (5-cot(a))^2(1+cos(a))^2 ?
The solution to (5-cot(a))^2(1+cos(a))^2 is (-cot(a)+5)^2(cos(a)+1)^2