What is the simplified expression for 3a^2+9ab+5-4a^2-4ab +3?
Accepted Solution
A:
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 terms9ab, -4ab are the like terms5, 3 are the like termsNow 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]