Question

11) Describe and correct the error of the following work: 3(x + 2)(2x - 3) Description: (3x + 6) (6x-9) 18x2 - 27x + 36x – 54 18x2 + 9x - 54

Answer 1

Given:

3(x + 2)(2x -3)

Let's simplify the expression.

Take the following steps:

3(x + 2)(2x - 3)

Step 1:

Apply distributive property

(3(x) + 3(2)) (2x - 3)

(3x + 6) (2x - 3)

Step 2:

Expand using FOIL method

3x(2x - 3) + 6(2x - 3)

Step 3:

Apply distributive property

`\begin{gathered} 3x(2x)+3x(-3)+6(2x)+6(-3) \\ \\ 6x^2-9x+12x-18 \end{gathered}`

Step 4:

Combine like terms

`6x^2+3x-18`

The error was made in the first step

ANSWER:

`6x^2+3x-18`