Answer: [tex]a^3*(7a^2+13)[/tex]
Step-by-step explanation:
The expression [tex]7a^5 + 13a^3[/tex] 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:
[tex]7(a*a*a*a*a)+13(a*a*a)[/tex]
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:
[tex]a^3*(7a^2+13)[/tex]
