Question

(x − 3)(x2 − 6x + 8)

Answer 1

Step 1:

Use the distributive property to multiply the expression:

`a(x\text{ + y\rparen = ax + ay}`

Step 2

`\begin{gathered} \text{ \lparen x - 3\rparen\lparen x}^2\text{ - 6x + 8\rparen} \\ \\ x(x^2\text{ - 6x + 8\rparen- 3\lparen x}^2\text{ - 6x + 8\rparen} \\ \\ x^3\text{ - 6x}^2\text{ + 8x - 3x}^2\text{ + 18x - 24} \\ \\ x^3\text{ - 9x}^2\text{ + 26x - 24} \end{gathered}`

Final answer

`x^3\text{ - 9x}^2\text{ + 26x - 24}`