What is factor 1-sin^2(x)cos^{2x}(x) ?

The solution to factor 1-sin^2(x)cos^{2x}(x) is -(sin(x)cos^x(x)+1)(sin(x)cos^x(x)-1)

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

factor

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

- (sin (x) cos^{x} (x) + 1) (sin (x) cos^{x} (x) - 1)

Solution steps

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

Rewrite

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

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

= 1 - (sin (x) cos^{1 \cdot x} (x))^{2}

Factor out common term

- 1

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

Factor

(sin (x) cos^{1 x} (x))^{2} - 1 : (sin (x) cos^{1 x} (x) + 1) (sin (x) cos^{1 x} (x) - 1)

= - (sin (x) cos^{1 x} (x) + 1) (sin (x) cos^{1 x} (x) - 1)

Refine

= - (sin (x) cos^{x} (x) + 1) (sin (x) cos^{x} (x) - 1)

((x + 3) + 4) ((x + 3) - 4)

7 y^{- 1} + 11 y^{- 5}

+ (- 24)

(m + n) 2 - 6 (m + n) + 9

x^{2} - 12 x + (- 36)

What is factor 1-sin^2(x)cos^{2x}(x) ?
The solution to factor 1-sin^2(x)cos^{2x}(x) is -(sin(x)cos^x(x)+1)(sin(x)cos^x(x)-1)