Question

The work for one students problem multiplying two binomials is shown below

Answer 1

Step 1 :

In this question, we are meant to study the multiplication of two binomials by a student and then detect where she made the wrong step.

Step 2:

`\begin{gathered} \text{Given ( 2 x - 3 ) ( x - 2 ) -------- 1st Step ( COR}\R ECT) \\ \text{She expanded the two binomials using this method:} \\ 2x\text{ ( x - 2 ) -3 ( x - 2 ) ----------2nd Step ( CORRECT)} \\ She\text{ simplified the expression as follows:} \\ 2x^2\text{ - 2 x - 3 x - 6 ------------3rd Step (Wrong)} \\ \text{The correct expression should have b}een\text{ :} \\ 2x^2-\text{ 2x - 3x + 6} \end{gathered}`

CONCLUSION:

She made the first error at Step 3