Question

Multiply the following :

$\left(2x\right)\times \left(4x^2+\frac{7}{3}{y}^{2}z-2xy\right)$

Answer 1

Finding the multiplication

Multiplying by the horizontal method

$$\begin{gathered} \left(2x\right)\times \left(4x^2+\frac{7}{3}{y}^{2}z-2xy\right)=2x\times 4x^2+2x\times \frac{7}{3}{y}^{2}z-2x\times 2xy \\ =8x^3+\frac{14}{3}x{y}^{2}z-4x^{2}y \end{gathered}$$

Hence, the product of a given algebraic expression is $8x^3+\frac{14}{3}x{y}^{2}z-4x^{2}y$.