Question

Factor the expression using the greatest common factor 7a5+ 13a3

Answer 1

Answer: $a^3*(7a^2+13)$

Step-by-step explanation:

The expression $7a^5 + 13a^3$ can be factored by finding the greatest common factor of each monomial expression.

Knowing that 7 and 13 are both prime numbers, we know that the greatest common factor of each is 1.

However, expanding the expression gives us:

$7(a*a*a*a*a)+13(a*a*a)$

There are three a's (or a^3) in each monomial, which is the greatest common factor. Knowing this, you can divide each monomial by a^3 and factor to get:

$a^3*(7a^2+13)$