Question

А^2+4аб-3а^2б-6аб^2+4б^2​

Answer 1

$a^2+4ab-3a^2b-6ab^2+4b^2=(a^2+4ab+4b^2)-3a^2b-6ab^2=\\(a+2b)^2-3ab(a+2b)=(a+2b)(a+2b-3ab)$

Answer 2

To simplify the expression A^2 + 4ab - 3a^2b - 6ab^2 + 4b^2, we can first group the like terms and then combine them:

Grouping the terms: (A^2) + (4ab) + (-3a^2b) + (-6ab^2) + (4b^2)

Now, let's combine the like terms:

A^2 - 3a^2b + 4ab - 6ab^2 + 4b^2

The expression is now simplified. Depending on what you want to do with this expression, you can further factor or solve it based on your specific requirements.