Answer:
The simplified expression is:
[tex]a^2-ab-b^2+3ab^2[/tex]
Step-by-step explanation:
We have to simplify the expression which is given as:
[tex]-2a^2b+a^2-5ab+3ab^2-b^2+2(a^2b+2ab)[/tex]
We simplify the algebraic expression first by solving the parenthesis term and then by combining the like terms.
Hence, on solving the above algebraic expression as:
[tex]-2a^2b+a^2-5ab+3ab^2-b^2+2a^2b+4ab\\\\=-2a^2b+2a^2b+a^2-5ab+4ab+3ab^2-b^2\\\\=a^2-ab-b^2+3ab^2[/tex]
The simplified expression is:
[tex]a^2-ab-b^2+3ab^2[/tex]
