The final factors of 6ab + 15a − 8b − 20 are (3a-4)(2b+5).
factorization is the method of breaking a number into smaller numbers that multiplied together will give that original form.
Factorization is expressing a mathematical quantity in terms of multiples of smaller units of similar quantities.
Prime factorization is when all those factors are prime numbers.
Thus, prime factorization expresses an integer in terms of multiples of prime numbers.
Prime factorization is unique for each integer.
The given factors are;
6ab + 15a − 8b − 20
The first pair 6ab + 15
Now, the factors of the first pair;
3a(2b+5),
The second pair − 8b − 20
Now, the factors of the second pair;
-4(2b+5).
Therefore, 2b+5 is common to the left 2 terms as well as to the right two terms,
Hence, the final factors of 6ab + 15a − 8b − 20 are (3a-4)(2b+5).
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