Question

Find the sum of:
(iii) $4x^2+8xy-2y^2$ and $8xy-5y^2+x^2$

Answer 1

Step: Find the sum of given expressions
We need to add $(4x^2+8xy-2y^2)$ and $(8xy-5y^2+x^2)$ $=(4x^2+8xy-2y^2)+(8xy-5y^2+x^2)$
$=(4x^2+x^2)+(8xy+8xy)+(-2y^2-5y^2)$ [Grouping like terms]
$=5x^2+16xy-7y^2$
Hence, the answer is $5x^2+16xy-7y^2.$