What is expand r^2xcos(f)*(2-r^2) ?

The solution to expand r^2xcos(f)*(2-r^2) is 2r^2xcos(f)-r^4xcos(f)

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expand r^2xcos(f)*(2-r^2)

expand

r^{2} x cos (f) \cdot (2 - r^{2})

2 r^{2} x cos (f) - r^{4} x cos (f)

Solution steps

r^{2} x cos (f) (2 - r^{2})

Apply the distributive law:

a (b - c) = ab - a c

r^{2} x cos (f) (2 - r^{2}) = r^{2} x cos (f) \cdot 2 - r^{2} x cos (f) r^{2}

= r^{2} x cos (f) \cdot 2 - r^{2} x cos (f) r^{2}

Simplify

r^{2} x cos (f) \cdot 2 - r^{2} x cos (f) r^{2} : 2 r^{2} x cos (f) - r^{4} x cos (f)

= 2 r^{2} x cos (f) - r^{4} x cos (f)

a^{3} - a - 120

x^{- x} - 6

7^{- l} o g^{7} a

(\frac{2 x}{5 + 5})^{2} - (\frac{2 x}{5 - 5})^{2}

256 a^{12} - 289 b^{4} \cdot m^{10}

What is expand r^2xcos(f)*(2-r^2) ?
The solution to expand r^2xcos(f)*(2-r^2) is 2r^2xcos(f)-r^4xcos(f)