Question

$$2x(2 { x }^{ 2 } )$$

Answer

$$4*x^3$$

Solution


Take out the constants.
\[(2\times 2)x{x}^{2}\]
Simplify  \(2\times 2\)  to  \(4\).
\[4x{x}^{2}\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[4{x}^{1+2}\]
Simplify  \(1+2\)  to  \(3\).
\[4{x}^{3}\]