Question

factor the algebraic expression.
36a + 32

36a + 32 = \square
(factor completely.)

Explanation:

Step1: Find GCD of 36 and 32

The factors of 36 are \(1, 2, 3, 4, 6, 9, 12, 18, 36\), and factors of 32 are \(1, 2, 4, 8, 16, 32\). The greatest common divisor (GCD) is 4.

Step2: Factor out GCD

Factor out 4 from \(36a + 32\): \(4\times(9a + 8)\)

Answer:

\(4(9a + 8)\)