Answer:
5p^3q ( 8p^3 + 3p^2q^3 +7q)
Explanation:
greatest common factor = GCF
40p^6q + 15p^5q^4 + 35p^3q^2
This expression has 3 terms: 40p^6q , 15p^5q^4 , and 35p^3q^2
Find the GCF for the 3 terms
The coefficient parts are 40, 15 and 35 their GCF is 5
The p part: p^6, p^5, and p^3 their GCF is p^3
The q part: q, q^4, and q^2 their GCF is q
The GCF for the 3 terms is 5p^3q
Factor the expression using the GCF
40p^6q + 15p^5q^4 + 35p^3q^2 =
5p^3q ( 8p^3 + 3p^2q^3 +7q)