Answer:
A) 7 is the greatest common factor of the expression.
B) factoring the expression [tex]14x + 28y + 21[/tex] we get [tex]\mathbf{7(2x+4y+3)}[/tex]
Step-by-step explanation:
We are given the expression: [tex]14x + 28y + 21[/tex]
Part A: What is the greatest common factor of the expression?
We need to find the greatest common factor of the expression.
The expression is divisible by 7
So, 7 is the greatest common factor of the expression.
Part B: Factor the expression
We need to factor the expression: [tex]14x + 28y + 21[/tex]
Taking 7 common:
[tex]14x + 28y + 21\\=7(2x+4y+3)[/tex]
So, factoring the expression [tex]14x + 28y + 21[/tex] we get [tex]\mathbf{7(2x+4y+3)}[/tex]