Write the Fraction in Simplest Form (2sin(A)cos(A)-cos(A))/(1-sin(A)+sin(A)^2cos(A)^2)

$\frac{2 \sin (A) \cos (A) - \cos (A)}{1 - \sin (A) + \sin^{2} (A) \cos^{2} (A)}$

Step 1

Factor $\cos (A)$ out of $2 \sin (A) \cos (A)$ .

$\frac{\cos (A) (2 \sin (A)) - \cos (A)}{1 - \sin (A) + \sin^{2} (A) \cos^{2} (A)}$

Step 2

Factor $\cos (A)$ out of $- \cos (A)$ .

$\frac{\cos (A) (2 \sin (A)) + \cos (A) \cdot - 1}{1 - \sin (A) + \sin^{2} (A) \cos^{2} (A)}$

Step 3

Factor $\cos (A)$ out of $\cos (A) (2 \sin (A)) + \cos (A) \cdot - 1$ .

$\frac{\cos (A) (2 \sin (A) - 1)}{1 - \sin (A) + \sin^{2} (A) \cos^{2} (A)}$