Answer:
The correct option is: C) 4x(3y + 7z)
Step-by-step explanation:
Given expression is: [tex]12xy+28xz[/tex]
First we need to find the GCF(Greatest common factor) of [tex]12xy[/tex] and [tex]28xz[/tex] and then we will factor out that GCF.
[tex]12xy \Rightarrow 2\times 2\times 3\times x\times y\\ \\ 28xz\Rightarrow 2\times 2\times 7\times x\times z[/tex]
We can see that the common factors are: [tex]2,2, x[/tex]
So, the GCF will be: [tex]2\times 2\times x= 4x[/tex]
Now factoring out [tex]4x[/tex] from the given expression, we will get.....
[tex]12xy+28xz\\ \\ = 4x(\frac{12xy}{4x}+ \frac{28xz}{4x}) \\ \\ =4x(3y+7z)[/tex]
So, the complete factorization will be: [tex]4x(3y+7z)[/tex]
