Question

question
factor completely.
$14x^{3}y^{3}z - 21xy^{4}z^{4}$
answer attempt 1 out of 2

Explanation:

Step1: Find GCF of coefficients

GCF of 14 and 21 is 7.

Step2: Find GCF of variable terms

For $x$: $\text{GCF}(x^3, x) = x$
For $y$: $\text{GCF}(y^3, y^4) = y^3$
For $z$: $\text{GCF}(z, z^4) = z$
Overall variable GCF: $xy^3z$

Step3: Factor out total GCF

Total GCF: $7xy^3z$
Divide each term by GCF:
$\frac{14x^3y^3z}{7xy^3z} = 2x^2$, $\frac{-21xy^4z^4}{7xy^3z} = -3yz^3$

Answer:

$7xy^3z(2x^2 - 3yz^3)$