Answer:
[tex]-2b^2+17b-15[/tex]
Step-by-step explanation:
Given expression:
[tex](b^2+13b-9)-(6-4b+3b^2)[/tex]
Apply rule [tex](a)=a[/tex]:
[tex]=b^2+13b-9-(6-4b+3b^2)[/tex]
Apply the distributive law [tex]-(a-b)=-a+b[/tex] :
[tex]=b^2+13b-9-6+4b-3b^2[/tex]
Subtract the numbers:
[tex]=b^2+13b-15+4b-3b^2[/tex]
Group like terms:
[tex]=b^2-3b^2+13b+4b-15[/tex]
Combine like terms:
[tex]=-2b^2+17b-15[/tex]
