how would you rewrite 24ab^2c+18a^3b by factoring out the gcf
To rewrite the expression by factoring out the greatest common factor (GCF), we first need to identify the common factors in each term.
The factors of each term are:
24ab^2c = 2 * 2 * 2 * 3 * a * b^2 * c
18a^3b = 2 * 3 * 3 * a^3 * b
The GCF is the largest factor that appears in each term. In this case, the GCF is 6ab.
Next, we divide each term by the GCF:
24ab^2c ÷ 6ab = 4bc
18a^3b ÷ 6ab= 3a^2
Therefore, the expression 24ab^2c + 18a^3b can be rewritten as:
6ab(4bc + 3a^2)