How do you find the sum of $5 x^{2} y$ $5x^2y$ and $2 x y^{2} + x^{2} y$ $2xy^2 + x^2y$ ?

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Answer 1 · 2015-03-25T10:36:00

You may only add like combinations of powers.

First sort the terms:

$5 x^{2} y + x^{2} y + 2 x y^{2} = 6 x^{2} y + 2 x y^{2}$ $5x^2y+x^2y+2xy^2=6x^2y+2xy^2$

Afterward, you may want to factorise:

$= 2 x y \cdot (3 x + y)$ $=2xy*(3x+y)$

How do you find the sum of 5x^2y5x2y5x^2y and 2xy^2 + x^2y2xy2+x2y2xy^2 + x^2y?