What is the simplified expression for –2a2b + a2 – 5ab + 3ab2 – b2 + 2(a2b + 2ab)?
The simplified expression is:
\(a^2-ab-b^2+3ab^2\)
We have to simplify the expression which is given as:
\(-2a^2b+a^2-5ab+3ab^2-b^2+2(a^2b+2ab)\)
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:
\(-2a^2b+a^2-5ab+3ab^2-b^2+2a^2b+4ab\\\\=-2a^2b+2a^2b+a^2-5ab+4ab+3ab^2-b^2\\\\=a^2-ab-b^2+3ab^2\)
The simplified expression is:
\(a^2-ab-b^2+3ab^2\)