What is expand f(12x-6)x^2dx ?

The solution to expand f(12x-6)x^2dx is 12fx^3dx-6fx^2dx

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expand f(12x-6)x^2dx

expand

f (12 x - 6) x^{2} d x

12 f x^{3} d x - 6 f x^{2} d x

Solution steps

f (12 x - 6) x^{2} d x

= f x^{2} (12 x - 6) d x

Apply the distributive law:

a (b - c) = ab - a c

a = f x^{2} d x, b = 12 x, c = 6

= f x^{2} d x \cdot 12 x - f x^{2} d x \cdot 6

= 12 f x^{2} x d x - 6 f x^{2} d x

12 f x^{2} x d x = 12 f x^{3} d x

= 12 f x^{3} d x - 6 f x^{2} d x

\frac{d}{d t} ((θ) (θ^{2} - t^{2})^{2})

\frac{\partial}{\partial x} ((z) (t x^{2} + yz - 2))

24 (1 - e^{- \frac{t}{2}})

x + 1 \cdot (x + 1)^{2}

(- cos (x) + \frac{cos ^{3} ( x )}{3})^{2}

What is expand f(12x-6)x^2dx ?
The solution to expand f(12x-6)x^2dx is 12fx^3dx-6fx^2dx