What is expand (cos^3(t)+sin^3(t))*(3cos(t)sin(t)) ?

The solution to expand (cos^3(t)+sin^3(t))*(3cos(t)sin(t)) is 3cos^4(t)sin(t)+3sin^4(t)cos(t)

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expand (cos^3(t)+sin^3(t))*(3cos(t)sin(t))

expand

(cos^{3} (t) + sin^{3} (t)) \cdot (3 cos (t) sin (t))

3 cos^{4} (t) sin (t) + 3 sin^{4} (t) cos (t)

Solution steps

(cos^{3} (t) + sin^{3} (t)) (3 cos (t) sin (t))

= (3 cos (t) sin (t)) (cos^{3} (t) + sin^{3} (t))

Apply the distributive law:

a (b + c) = ab + a c

(3 cos (t) sin (t)) (cos^{3} (t) + sin^{3} (t)) = 3 cos (t) sin (t) cos^{3} (t) + 3 cos (t) sin (t) sin^{3} (t)

= 3 cos (t) sin (t) cos^{3} (t) + 3 cos (t) sin (t) sin^{3} (t)

Simplify

3 cos (t) sin (t) cos^{3} (t) + 3 cos (t) sin (t) sin^{3} (t) : 3 cos^{4} (t) sin (t) + 3 sin^{4} (t) cos (t)

= 3 cos^{4} (t) sin (t) + 3 sin^{4} (t) cos (t)

\frac{p ^{3} + 2 p + 1}{p ^{2} ( p ^{2} + 2 )}

θ (a + p) a - p

(12 x^{2} - 24 x + 24) e^{x}

\frac{GCQ}{( 1 + GC ) ( 1 - MQ ) + GCQ}

5 (4 - 2)

What is expand (cos^3(t)+sin^3(t))*(3cos(t)sin(t)) ?
The solution to expand (cos^3(t)+sin^3(t))*(3cos(t)sin(t)) is 3cos^4(t)sin(t)+3sin^4(t)cos(t)