What is (rcos(θ)-rsin(θ))(rcos(θ)+rsin(θ)) ?

The solution to (rcos(θ)-rsin(θ))(rcos(θ)+rsin(θ)) is r^2cos(2θ)

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simplify (rcos(θ)-rsin(θ))(rcos(θ)+rsin(θ))

simplify

(r cos (θ) - r sin (θ)) (r cos (θ) + r sin (θ))

r^{2} cos (2 θ)

Solution steps

(r cos (θ) - r sin (θ)) (r cos (θ) + r sin (θ))

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

= r^{2} cos (2 θ)

Factor

(r cos (θ) - r sin (θ)) (r cos (θ) + r sin (θ)) : r^{2} (cos (θ) - sin (θ)) (cos (θ) + sin (θ))

= r^{2} cos (2 θ)

(d + e)^{2}

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

(π - 2 x)^{2}

\frac{s ^{2} + 1}{s ( s - 1 ) ( s + 1 ) ( s - 4 )}

(x + 3) x + 3

What is (rcos(θ)-rsin(θ))(rcos(θ)+rsin(θ)) ?
The solution to (rcos(θ)-rsin(θ))(rcos(θ)+rsin(θ)) is r^2cos(2θ)