Given:
The expression is
[tex]13ab+15ab[/tex]
To find:
The equivalent expressions in factored form.
Solution:
We have,
[tex]13ab+15ab[/tex]
In the given terms 13ab and 15ab, then common factors are only a and b because 13 is a prime number. So, the greatest common factor is ab.
Distributive property of multiplication over addition:
[tex]a(b+c)=ab+ac[/tex]
By using greatest common factor and the distributive property, we get
[tex]13ab+15ab=ab(13+15)[/tex]
[tex]13ab+15ab=ab(28)[/tex]
[tex]13ab+15ab=28ab[/tex]
Therefore, the required equivalent expression is [tex]28ab[/tex].
