What is expand (16-r^2)r^2cos(x) ?

The solution to expand (16-r^2)r^2cos(x) is 16r^2cos(x)-r^4cos(x)

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expand (16-r^2)r^2cos(x)

expand

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

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

Solution steps

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

= r^{2} cos (x) (16 - r^{2})

Apply the distributive law:

a (b - c) = ab - a c

r^{2} cos (x) (16 - r^{2}) = r^{2} cos (x) \cdot 16 - r^{2} cos (x) r^{2}

= r^{2} cos (x) \cdot 16 - r^{2} cos (x) r^{2}

Simplify

r^{2} cos (x) \cdot 16 - r^{2} cos (x) r^{2} : 16 r^{2} cos (x) - r^{4} cos (x)

= 16 r^{2} cos (x) - r^{4} cos (x)

(x - x) (x + x)

(x + 4) (x^{2} + 9 + 5)

\frac{1}{( s - 5 ) ( s + 8 )}

(4 - 3 i)^{4}

(x^{3} + 2) x^{4} - x^{3}

What is expand (16-r^2)r^2cos(x) ?
The solution to expand (16-r^2)r^2cos(x) is 16r^2cos(x)-r^4cos(x)