Question

Please help!!!!!!!!!!!!!

Answer 1

GCF for given expression is:

$GCF = 5(x+7)^2$

Solution:

Given that,

We have to find the greatest common factor

$5(x+7)^4\\\\35(x+7)^2\\\\15(x+7)^3$

First find the GCF of numbers 5, 35 and 15

Find the GCF of 5, 35 and 15

The factors of 5 are: 1, 5

The factors of 15 are: 1, 3, 5, 15

The factors of 35 are: 1, 5, 7, 35

Then the greatest common factor is 5

Now find the GCF of variables

$(x+7)^4\\\\(x+7)^2\\\\(x+7)^3$

Here, the common factor is $(x+7)^2$

Thus, GCF for given expression is:

$GCF = 5(x+7)^2$