What is expand (4/5)(3^n)(1+5x) ?

The solution to expand (4/5)(3^n)(1+5x) is (4*3^n)/5+4*3^nx

Popular >

expand (4/5)(3^n)(1+5x)

expand

(\frac{4}{5}) (3^{n}) (1 + 5 x)

\frac{4 \cdot 3 ^{n}}{5} + 4 \cdot 3^{n} x

Solution steps

(\frac{4}{5}) (3^{n}) (1 + 5 x)

Simplify

(\frac{4}{5}) (3^{n}) (1 + 5 x) : \frac{4}{5} \cdot 3^{n} (1 + 5 x)

= \frac{4}{5} \cdot 3^{n} (1 + 5 x)

Apply the distributive law:

a (b + c) = ab + a c

\frac{4}{5} \cdot 3^{n} (1 + 5 x) = \frac{4}{5} \cdot 3^{n} \cdot 1 + \frac{4}{5} \cdot 3^{n} \cdot 5 x

= \frac{4}{5} \cdot 3^{n} \cdot 1 + \frac{4}{5} \cdot 3^{n} \cdot 5 x

Simplify

\frac{4}{5} \cdot 3^{n} \cdot 1 + \frac{4}{5} \cdot 3^{n} \cdot 5 x : \frac{4 \cdot 3 ^{n}}{5} + 4 \cdot 3^{n} x

= \frac{4 \cdot 3 ^{n}}{5} + 4 \cdot 3^{n} x

\frac{7 e ^{16}}{2 ( s + 4 )} - \frac{3 e ^{8}}{2 ( s + 2 )}

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

(x (4 y d x + 2 x d y) + y^{3} (3 y x + 5 x d y)) (x^{2} y^{3})

s cos (x) (1 + t a gx)

k (c + d - e)

What is expand (4/5)(3^n)(1+5x) ?
The solution to expand (4/5)(3^n)(1+5x) is (4*3^n)/5+4*3^nx