Chapter 8.2, Problem 36PPE

To determine

To Describe: the error and correct the error made in multiplying

Answer to Problem 36PPE

Distribution error and the correction of error is:

  $-3x\left(2x-5\right)=-6x^2+15x$

Explanation of Solution

Given information:

  

Let,

  $-a\left(x-y\right)=\left(-a\right)x-\left(-a\right)y$

Whenever any variable with or without the negative sign multiplied by the bracket contain two or more than two variable then the variable distribute to the inner variables

Here, $-3x\left(2x-5\right)=\left(-3x\right)\left(2x\right)-\left(-3x\right)\left(5\right)$ is the error

Error correction:

  $\begin{array}{l}-3x\left(2x-5\right)=\left(-3x\right)\left(2x\right)-\left(-3x\right)\left(5\right)\\ -3x\left(2x-5\right)=-6x^2+15x\end{array}$