Question

Find the complete factorization of the expression. 12xyz + 6xy − 10xz

Answer 1

2x(6zy + 3y − 5z) = 12xyz + 6xy − 10xz

Explanation:

Factoring is the decomposition of an expression into a product of factors, which when multiplied together give the original expression.

Answer 2

The only way to factor this is to take the greatest common numerical factor, which is 2, and the only common algebraic factor, which is x, out of each term.
So we divide each term by 2x to get 6yz + 3y - 5z, and the factored form will be
2x(6yz + 3y - 5z)