Answer:
[tex]-a^2 + 5ab + 8[/tex]
Step-by-step explanation:
The given expression is [tex]3a^2 + 9ab + 5 -4a^2 - 4ab + 3[/tex]
To simplify the expression, we need to identify the like terms and simplify.
Like terms: The like terms are the terms which are having the same variable and the same exponents. The coefficients may be differ.
Examples: i) 3x and -4x are the like terms ii) [tex]3xy^2 and -7xy^2[/tex] are the like terms.
Now let's identify the like terms from the given expression.
[tex]3a^2, -4a^2[/tex] are the like terms
9ab, -4ab are the like terms
5, 3 are the like terms
Now we can combine the like terms and simplify.
[tex]3a^2 + 9ab + 5 -4a^2 - 4ab + 3[/tex]
= [tex](3a^2 - 4a^2) + (9ab - 4ab) + 5+ 3[/tex]
[tex]= -1a^2 + 5ab + 8[/tex]
= [tex]-a^2 + 5ab + 8[/tex]
