Question

which expression is equivalent to the given polynomial expression? (-4a^2-3b)+(-2ab-a^2+b^2)+(-b^2+6ab) A.-3a^2+4ab+3bB.-5a^2+4ab-3bC. -5a^2+2b^2+8ab+3bD.-3a^2+2b^2+8ab+3b

Answer 1

ANSWER

$B\text{. }-5a^2\text{ + 4ab - 3b}$

EXPLANATION

We want to find the equivalent expression to the given expression.

To do that, we have to simplify the expression by collecting like terms.

The expression is:

$(-4a^2-3b)+(-2ab-a^2+b^2)+(-b^2\text{ + 6ab)}$

So, we have:

$\begin{gathered} -4a^2-3b-2ab-a^2+b^2-b^2\text{ + 6ab} \\ -4a^2-a^2+b^2-b^2\text{ - 2ab + 6ab - 3b} \\ -5a^2\text{ + 4ab - 3b} \end{gathered}$

The answer is Option B.