What is the simplified form for the product Fraction 1: the quantity x plus 1 over the quantity x squared minus 25; Fraction 2: the quantity x plus 5 over the quantity x squared plus 8 times x plus 7; Find Fraction 1 times by Fraction 2.?

(1 point)
Responses

The quantity x plus 1 over the quantity x plus 5 times the quantity x plus 7
Image with alt text: The quantity x plus 1 over the quantity x plus 5 times the quantity x plus 7

1 over the quantity x plus 5 times the quantity x plus 7
Image with alt text: 1 over the quantity x plus 5 times the quantity x plus 7

1 over the quantity x minus 5 times the quantity x plus 7
Image with alt text: 1 over the quantity x minus 5 times the quantity x plus 7

1 over the quantity x plus 5 times the quantity x minus 7

3 answers

The simplified form for Fraction 1 is 1/(x + 5), and the simplified form for Fraction 2 is (x + 7). So, Fraction 1 times Fraction 2 is 1/(x + 5) * (x + 7).
What is the simplified form of the product Start fraction x squared plus eight x plus fifteen over x minus four end fraction times start fraction x squared minus sixteen over two x plus six end fraction ?
(1 point)
Responses

Start fraction left parenthesis x minus five right parenthesis left parenthesis x plus four right parenthesis over two end fraction.
Image with alt text: Start fraction left parenthesis x minus five right parenthesis left parenthesis x plus four right parenthesis over two end fraction.

Start fraction left parenthesis x plus five right parenthesis left parenthesis x plus four right parenthesis over two end fraction.
Image with alt text: Start fraction left parenthesis x plus five right parenthesis left parenthesis x plus four right parenthesis over two end fraction.

Start fraction left parenthesis x plus five right parenthesis left parenthesis x minus four right parenthesis over two end fraction.
Image with alt text: Start fraction left parenthesis x plus five right parenthesis left parenthesis x minus four right parenthesis over two end fraction.

Start fraction left parenthesis x minus five right parenthesis left parenthesis x minus four right parenthesis over two end fraction.
The simplified form of the product is Start fraction (x - 5)(x + 4)/2.