What is expand (tan(x)-4)(tan(x)+4)(tan(x)-2)(tan(x)+2) ?

The solution to expand (tan(x)-4)(tan(x)+4)(tan(x)-2)(tan(x)+2) is tan^4(x)-20tan^2(x)+64

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expand (tan(x)-4)(tan(x)+4)(tan(x)-2)(tan(x)+2)

expand

(tan (x) - 4) (tan (x) + 4) (tan (x) - 2) (tan (x) + 2)

tan^{4} (x) - 20 tan^{2} (x) + 64

Solution steps

(tan (x) - 4) (tan (x) + 4) (tan (x) - 2) (tan (x) + 2)

Expand

(tan (x) - 4) (tan (x) + 4) (tan (x) - 2) (tan (x) + 2) : (tan^{2} (x) - 16) (tan (x) - 2) (tan (x) + 2)

= (tan^{2} (x) - 16) (tan (x) - 2) (tan (x) + 2)

Apply Difference of Two Squares

(tan (x) - 2) (tan (x) + 2) : tan^{2} (x) - 4

= (tan^{2} (x) - 16) (tan^{2} (x) - 4)

Apply FOIL method

(tan^{2} (x) - 16) (tan^{2} (x) - 4) : tan^{4} (x) - 20 tan^{2} (x) + 64

= tan^{4} (x) - 20 tan^{2} (x) + 64

5 x (x - 8 x)

\frac{2 ( - x ^{2} + 7 )}{( x ^{2} + 7 ) ^{2}}

(1 + ln (2))^{3}

x^{2} (cos^{2} (y) - sin^{2} (y))

(2 x + 4) (x)

What is expand (tan(x)-4)(tan(x)+4)(tan(x)-2)(tan(x)+2) ?
The solution to expand (tan(x)-4)(tan(x)+4)(tan(x)-2)(tan(x)+2) is tan^4(x)-20tan^2(x)+64