What is factor 1-tan^4(x) ?

The solution to factor 1-tan^4(x) is (1+tan^2(x))(1+tan(x))(1-tan(x))

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factor 1-tan^4(x)

factor

1 - tan^{4} (x)

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

Solution steps

1 - tan^{4} (x)

1 = 1^{2}

tan^{4} (x) = (tan^{2} (x))^{2}

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

Apply Difference of Two Squares Formula:

x^{2} - y^{2} = (x + y) (x - y)

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

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

Factor

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

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

f (x) - 4

- 3 mn (m^{2} n^{3} + 2 mn)

6 \frac{1}{4} \div 4 \frac{1}{2}

28 x^{6} y^{9}

(x - 25)^{2}

What is factor 1-tan^4(x) ?
The solution to factor 1-tan^4(x) is (1+tan^2(x))(1+tan(x))(1-tan(x))