What is the product in simplest form? State any restrictions on the variable.

Question

x squared plus five times x plus six over x plus four • x squared plus x minus twelve over x squared plus x minus two

(1 point)
Responses

parenthesis x plus three parenthesis times parenthesis x minus three parenthesis over x minus one, x ≠ –2, x ≠ –4
Image with alt text: parenthesis x plus three parenthesis times parenthesis x minus three parenthesis over x minus one , x ≠ – 2, x ≠ –4

parenthesis x plus three parenthesis times parenthesis x minus three parenthesis over parenthesis x minus one parenthesis times parenthesis x plus two parenthesis, x ≠ –2, x ≠ –4, x ≠ 1
Image with alt text: parenthesis x plus three parenthesis times parenthesis x minus three parenthesis over parenthesis x minus one parenthesis times parenthesis x plus two parenthesis , x ≠ – 2, x ≠ –4, x ≠ 1

parenthesis x plus three parenthesis times parenthesis x minus three parenthesis over parenthesis x minus one parenthesis times parenthesis x plus two parenthesis, x ≠ –2, x ≠ –4
Image with alt text: parenthesis x plus three parenthesis times parenthesis x minus three parenthesis over parenthesis x minus one parenthesis times parenthesis x plus two parenthesis , x ≠ – 2, x ≠ –4

parenthesis x plus three parenthesis times parenthesis x minus three parenthesis over x minus one, x ≠ –2, x ≠ –4, x ≠ 1

Answer 1

The product in simplest form is (x + 3)(x - 3) / (x - 1)(x + 2), with the restrictions x ≠ -2, x ≠ -4, x ≠ 1.