Answer:To factor the expression 4a+6b, we need to find the greatest common divisor (GCD) of the coefficients 4 and 6.Find the factors of 4: 1, 2, 4Find the factors of 6: 1, 2, 3, 6The greatest common divisor of 4 and 6 is 2.Now, we can factor out 2 from both terms.4a+6b=2(2a)+2(3b)4a+6b=2(2a+3b)So, the factored form of 4a+6b is 2(2a+3b).