What is expand sin((ax-bt)^2)(2a^2x-2abt) ?

The solution to expand sin((ax-bt)^2)(2a^2x-2abt) is 2xa^2sin((ax-bt)^2)-2abtsin((ax-bt)^2)

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expand sin((ax-bt)^2)(2a^2x-2abt)

expand

sin ((a x - b t)^{2}) (2 a^{2} x - 2 ab t)

2 x a^{2} sin ((a x - b t)^{2}) - 2 ab t sin ((a x - b t)^{2})

Solution steps

sin ((a x - b t)^{2}) (2 a^{2} x - 2 ab t)

Apply the distributive law:

a (b - c) = ab - a c

sin ((a x - b t)^{2}) (2 a^{2} x - 2 ab t) = sin ((a x - b t)^{2}) \cdot 2 a^{2} x - sin ((a x - b t)^{2}) \cdot 2 ab t

= sin ((a x - b t)^{2}) \cdot 2 a^{2} x - sin ((a x - b t)^{2}) \cdot 2 ab t

= 2 x a^{2} sin ((a x - b t)^{2}) - 2 ab t sin ((a x - b t)^{2})

(- w^{2} t - l cos (θ) w^{2}) (l sin (θ))

2 (8 + 3 + 6)

∣ (1 - a c - b d) + (b c - a d) i ∣

\frac{3}{s + 2} + \frac{7 s + 4}{s ^{2} - 2 s + 2}

\frac{1}{( 1 - x ) ^{3} ( 1 + x ) ( 1 - x ^{5} )}

What is expand sin((ax-bt)^2)(2a^2x-2abt) ?
The solution to expand sin((ax-bt)^2)(2a^2x-2abt) is 2xa^2sin((ax-bt)^2)-2abtsin((ax-bt)^2)