Question

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

Answer 1

The answer should be 5ab - a^2 + 8

Answer 2

Answer:

$-a^2 + 5ab + 8$

Step-by-step 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.

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

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

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

= $-a^2 + 5ab + 8$