What is (sin^2(x)-cos^2(x))/(sin(x)-cos(x)) ?

The solution to (sin^2(x)-cos^2(x))/(sin(x)-cos(x)) is sin(x)+cos(x)

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simplify (sin^2(x)-cos^2(x))/(sin(x)-cos(x))

simplify

\frac{sin ^{2} ( x ) - cos ^{2} ( x )}{sin ( x ) - cos ( x )}

sin (x) + cos (x)

Solution steps

\frac{sin ^{2} ( x ) - cos ^{2} ( x )}{sin ( x ) - cos ( x )}

Apply Difference of Two Squares Formula:

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

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

= \frac{( sin ( x ) + cos ( x ) ) ( sin ( x ) - cos ( x ) )}{sin ( x ) - cos ( x )}

Cancel the common factor:

sin (x) - cos (x)

= sin (x) + cos (x)

- 2.5 (2 s - 5) - 3 (4.5 s - 5.2)

2 (\frac{1}{8})

\frac{x ^{2} + 3 x - 2}{x ^{2} - 4} + \frac{x ^{2} - 2 x + 4}{x ^{2} - 4}

- 2 x^{2} - 18 x - 36

What is (sin^2(x)-cos^2(x))/(sin(x)-cos(x)) ?
The solution to (sin^2(x)-cos^2(x))/(sin(x)-cos(x)) is sin(x)+cos(x)