Which expression is a factor of both x^2 − 9 and x^2 + 8 x + 15

x+3

Step-by-step explanation:

1. Use formula for the difference of squares:

to factor

2. Factor

Now you can see that is the common factor.

x + 3

Step-by-step explanation:

x² - 9 ← is a difference of squares and factors as

x² - 9 = (x - 3)(x + 3)

To factor x² + 8x + 15

Consider the factors of the constant term (+ 15) which sum to give the coefficient of the x- term (+ 8)

The factors are + 5 and + 3, since

5 × 3 = 15 and 5 + 3 = 8, thus

x² + 8x + 15 = (x + 5)(x + 3)

Thus the factor (x + 3) is common to both

d

step-by-step explanation: