What is expand ln^4(x-3)(x^3+1)^5(2cos(x)-3) ?

The solution to expand ln^4(x-3)(x^3+1)^5(2cos(x)-3) is

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expand ln^4(x-3)(x^3+1)^5(2cos(x)-3)

expand

ln^{4} (x - 3) (x^{3} + 1)^{5} (2 cos (x) - 3)

2 x^{15} ln^{4} (x - 3) cos (x) + 10 x^{12} ln^{4} (x - 3) cos (x) + 20 x^{9} ln^{4} (x - 3) cos (x) + 20 x^{6} ln^{4} (x - 3) cos (x) + 10 x^{3} ln^{4} (x - 3) cos (x) + 2 ln^{4} (x - 3) cos (x) - 3 x^{15} ln^{4} (x - 3) - 15 x^{12} ln^{4} (x - 3) - 30 x^{9} ln^{4} (x - 3) - 30 x^{6} ln^{4} (x - 3) - 15 x^{3} ln^{4} (x - 3) - 3 ln^{4} (x - 3)

Solution steps

ln^{4} (x - 3) (x^{3} + 1)^{5} (2 cos (x) - 3)

Apply the distributive law:

a (b - c) = ab - a c

a = ln^{4} (x - 3) (x^{3} + 1)^{5}, b = 2 cos (x), c = 3

= ln^{4} (x - 3) (x^{3} + 1)^{5} \cdot 2 cos (x) - ln^{4} (x - 3) (x^{3} + 1)^{5} \cdot 3

= 2 ln^{4} (x - 3) cos (x) (x^{3} + 1)^{5} - 3 ln^{4} (x - 3) (x^{3} + 1)^{5}

Simplify

2 ln^{4} (x - 3) cos (x) (x^{3} + 1)^{5} - 3 ln^{4} (x - 3) (x^{3} + 1)^{5} : 2 x^{15} ln^{4} (x - 3) cos (x) + 10 x^{12} ln^{4} (x - 3) cos (x) + 20 x^{9} ln^{4} (x - 3) cos (x) + 20 x^{6} ln^{4} (x - 3) cos (x) + 10 x^{3} ln^{4} (x - 3) cos (x) + 2 ln^{4} (x - 3) cos (x) - 3 x^{15} ln^{4} (x - 3) - 15 x^{12} ln^{4} (x - 3) - 30 x^{9} ln^{4} (x - 3) - 30 x^{6} ln^{4} (x - 3) - 15 x^{3} ln^{4} (x - 3) - 3 ln^{4} (x - 3)

= 2 x^{15} ln^{4} (x - 3) cos (x) + 10 x^{12} ln^{4} (x - 3) cos (x) + 20 x^{9} ln^{4} (x - 3) cos (x) + 20 x^{6} ln^{4} (x - 3) cos (x) + 10 x^{3} ln^{4} (x - 3) cos (x) + 2 ln^{4} (x - 3) cos (x) - 3 x^{15} ln^{4} (x - 3) - 15 x^{12} ln^{4} (x - 3) - 30 x^{9} ln^{4} (x - 3) - 30 x^{6} ln^{4} (x - 3) - 15 x^{3} ln^{4} (x - 3) - 3 ln^{4} (x - 3)

P (- 4, 7) y Q (- 10, - 2)

\frac{s ^{2} - 8 s + 16}{( s - 5 ) ( s ^{2} - 4 s + 1 )}

\frac{4 ( 16 - 3 6 )}{15}

\frac{( 0. 5 ^{θ} ( - x ^{- θ} + 5 ^{- θ} ) )}{θ}

lo g_{10} (x) (lo g_{10} (x) - 6)

What is expand ln^4(x-3)(x^3+1)^5(2cos(x)-3) ?
The solution to expand ln^4(x-3)(x^3+1)^5(2cos(x)-3) is