Question

Which of the following is the product of the rational expressions shown below?

x/x+3 × x/x+2
A. 2x/x^2+5x+6
B. x^2/x^2+5x+6
C. x^2/x^2+6
D. x^2/x^2+5​

Answer 1

B

Explanation:

a/b × d/c = a×d / b×c

Multiply the numerators 1st.

x × x = x^2

Next is the Denominator.

x+3 × x+2

now try to multiply each term of the 1st expression with the 2nd.

x × x + x × 2 + 3 × x + 6

x^2 + 2x + 3x + 6

x^2 + 5x + 6

Write the numerator & denominator in their respective places.

x^2 / x^2 + 5x + 6