What is expand (3x^2y^2+cos(x))*4*cos(t) ?

The solution to expand (3x^2y^2+cos(x))*4*cos(t) is 12x^2y^2cos(t)+4cos(t)cos(x)

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expand (3x^2y^2+cos(x))4cos(t)

expand

(3 x^{2} y^{2} + cos (x)) \cdot 4 \cdot cos (t)

12 x^{2} y^{2} cos (t) + 4 cos (t) cos (x)

Solution steps

(3 x^{2} y^{2} + cos (x)) \cdot 4 cos (t)

= 4 cos (t) (3 x^{2} y^{2} + cos (x))

Apply the distributive law:

a (b + c) = ab + a c

4 cos (t) (3 x^{2} y^{2} + cos (x)) = 4 cos (t) \cdot 3 x^{2} y^{2} + 4 cos (t) cos (x)

= 4 cos (t) \cdot 3 x^{2} y^{2} + 4 cos (t) cos (x)

Simplify

4 cos (t) \cdot 3 x^{2} y^{2} : 12 x^{2} y^{2} cos (t)

= 12 x^{2} y^{2} cos (t) + 4 cos (t) cos (x)

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

x + 3^{2}

\frac{( s + 3 )}{s ( s ^{2} + 4 s + 85 ) ( s + 10 )}

L t (e t + e^{2} t)

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

What is expand (3x^2y^2+cos(x))*4*cos(t) ?
The solution to expand (3x^2y^2+cos(x))*4*cos(t) is 12x^2y^2cos(t)+4cos(t)cos(x)