What is (ucos(v)+usin(v))(ucos(v)-usin(v)) ?

The solution to (ucos(v)+usin(v))(ucos(v)-usin(v)) is u^2cos(2v)

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simplify (ucos(v)+usin(v))(ucos(v)-usin(v))

simplify

(u cos (v) + u sin (v)) (u cos (v) - u sin (v))

u^{2} cos (2 v)

Solution steps

(u cos (v) + u sin (v)) (u cos (v) - u sin (v))

(cos (v) + sin (v)) (cos (v) - sin (v)) = cos (2 v)

= u^{2} cos (2 v)

Factor

(u cos (v) + u sin (v)) (u cos (v) - u sin (v)) : u^{2} (cos (v) + sin (v)) (cos (v) - sin (v))

= u^{2} cos (2 v)

F (- 2, - 8) d i rec t r i z - 10

5 (53 - 9)

(2 x^{3} - ((\frac{2}{3}) x^{3})) - (- 2 x^{3} + ((\frac{2}{3}) x^{3}) = 440)

- \frac{8}{e ^{2 x} x} + \frac{1}{2 ( x - 2 )}

\frac{2 ( 1 - 2 x ^{\frac{3}{2}} + x ^{3} )}{3}

What is (ucos(v)+usin(v))(ucos(v)-usin(v)) ?
The solution to (ucos(v)+usin(v))(ucos(v)-usin(v)) is u^2cos(2v)