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Grace [21]
4 years ago
13

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

Mathematics
1 answer:
Likurg_2 [28]4 years ago
3 0

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)

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