What is (1+tan(x))^2(1-tan(x))^2 ?

The solution to (1+tan(x))^2(1-tan(x))^2 is (tan(x)+1)^2(-tan(x)+1)^2

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simplify (1+tan(x))^2(1-tan(x))^2

simplify

(1 + tan (x))^{2} (1 - tan (x))^{2}

(tan (x) + 1)^{2} (- tan (x) + 1)^{2}

Solution steps

(1 + tan (x))^{2} (1 - tan (x))^{2}

Apply exponent rule:

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

assuming

a \geq 0, b \geq 0

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

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

Apply exponent rule:

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

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

(0.5) (4) (1 0^{- 6}) (40 0^{2})

(3 x^{3} y^{2}) (6 y^{5})

2.55 \cdot 1 0^{- 3} (3600)

0.5 e^{- 2 t}

2 e^{- 8 t}

What is (1+tan(x))^2(1-tan(x))^2 ?
The solution to (1+tan(x))^2(1-tan(x))^2 is (tan(x)+1)^2(-tan(x)+1)^2