Question

What is the simplified expression for 3a^2+9ab+5-4a^2-4ab +3?

Answer 1

`-a^2 + 5ab  + 8`

Explanation:

The given expression is
`3a^2 + 9ab + 5 -4a^2 - 4ab + 3`

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)
`3xy^2 and -7xy^2` are the like terms.

Now let's identify the like terms from the given expression.

`3a^2, -4a^2` 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.

`3a^2 + 9ab + 5 -4a^2 - 4ab + 3`

=
`(3a^2 - 4a^2) + (9ab - 4ab) + 5+ 3`

`= -1a^2 + 5ab + 8`

=
`-a^2 + 5ab  + 8`