What is expand 4p(t)(2+4/(p'(t))) ?

The solution to expand 4p(t)(2+4/(p'(t))) is 8p(t)+(16p(t))/(p'(t))

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expand 4p(t)(2+4/(p'(t)))

expand

4 p (t) (2 + \frac{4}{p ^{'} ( t )})

8 p (t) + \frac{16 p ( t )}{p ' ( t )}

Solution steps

4 p (t) (2 + \frac{4}{p ^{'} ( t )})

Apply the distributive law:

a (b + c) = ab + a c

a = 4 p (t), b = 2, c = \frac{4}{p ^{'} ( t )}

= 4 p (t) \cdot 2 + 4 p (t) \frac{4}{p ^{^{'}} ( t )}

= 4 \cdot 2 p (t) + 4 \cdot \frac{4}{p ^{^{'}} ( t )} p (t)

Simplify

4 \cdot 2 p (t) + 4 \cdot \frac{4}{p ^{'} ( t )} p (t) : 8 p (t) + \frac{16 p ( t )}{p ^{'} ( t )}

= 8 p (t) + \frac{16 p ( t )}{p ^{'} ( t )}

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6 (3 x - 1) e^{2 x + 1}

What is expand 4p(t)(2+4/(p'(t))) ?
The solution to expand 4p(t)(2+4/(p'(t))) is 8p(t)+(16p(t))/(p'(t))