How do you factorize the following? 7a²-8ab?

a ( 7a - 8 b )

'a' is the only term in common.
so
a(7a - 8b) is the final possible factorization.

= a(7a - 8b)

7a² – 8ab = a(7a – 8b)

Look for common factors 7a^2 means 7xaxa , -8ab means -1x8xaxb , so a multiplies both terms , a(7a - 8b) , means the two factors are a and the bracket.

7a^2 - 8ab =
a (7a - 8b)

7a^2-8ab

Factor out the GCF of a from each term in the polynomial.

a(7a)+a(-8b)

Factor out the GCF of a from 7a^2-8ab

a(7a-b)

a ( 7a - 8 b )

7a^2 - 8ab
= a(7a) - a(8b)
= a(7a - 8b)