What is expand r^2(cos^2(θ)-sin^2(θ)) ?

The solution to expand r^2(cos^2(θ)-sin^2(θ)) is r^2cos^2(θ)-r^2sin^2(θ)

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expand r^2(cos^2(θ)-sin^2(θ))

expand

r^{2} (cos^{2} (θ) - sin^{2} (θ))

r^{2} cos^{2} (θ) - r^{2} sin^{2} (θ)

Solution steps

r^{2} (cos^{2} (θ) - sin^{2} (θ))

Apply the distributive law:

a (b - c) = ab - a c

r^{2} (cos^{2} (θ) - sin^{2} (θ)) = r^{2} cos^{2} (θ) - r^{2} sin^{2} (θ)

= r^{2} cos^{2} (θ) - r^{2} sin^{2} (θ)

(t + t^{2} i)^{2}

(2 x y + 4 x^{3} y^{2}) d x + (3 x^{2} + 4 x^{4} y) d y

(x^{2} - 81) y^{''} (x) + (9 - x) y^{'} (x) + (x^{2} + 18 x + 81) y

(3 + i)^{10}

e^{x} (- e^{- x} x - e^{- x})

What is expand r^2(cos^2(θ)-sin^2(θ)) ?
The solution to expand r^2(cos^2(θ)-sin^2(θ)) is r^2cos^2(θ)-r^2sin^2(θ)