Identify the factors of 15ab + 35a - 6b - 14.
(5a - 2)(3b + 7)
(5a + 2)(3b - 7)
(5a - 7)(3b + 2)
(5a + 7)(3b - 2)

Solution:

The given equation 15ab + 35a - 6b - 14 can be factorized in the given manner below:

5a(3b + 7) - 2(3b + 7)

(5a - 2)(3b + 7)

We are taking the common factor from the first two terms and from the last two terms.

Another example of such type of equation

25ab + 105a - 20b + 84

5a(5b + 21) - 4(5b + 21)

(5a -4)(5b + 21)

Identify the factors of 15ab + 35a - 6b - 14.

Summary:

The factors of 15ab + 35a - 6b - 14 are (5a - 2) and(3b + 7).