Question

what is the simplified form of the given expression ? 7x²y - 4x² + 7yx^​2 - 13y² - 6x² - y² + 8xy² - 2y²

Answer 1

$$\begin{gathered} 7{\mathrm{x}}^2\mathrm{y}-4{\mathrm{x}}^2+7{\mathrm{yx}}^2-13{\mathrm{y}}^2-6{\mathrm{x}}^2-{\mathrm{y}}^2+8{\mathrm{xy}}^2-2{\mathrm{y}}^2 \\ \mathrm{Now}\mathrm{taking}\mathrm{like}\mathrm{terms}\mathrm{together}\mathrm{we}\mathrm{get}, \\ =7{\mathrm{x}}^2\mathrm{y}+7{\mathrm{yx}}^2-13{\mathrm{y}}^2-{\mathrm{y}}^2-2{\mathrm{y}}^2-4{\mathrm{x}}^2-6{\mathrm{x}}^2+8{\mathrm{xy}}^2 \\ =14{\mathrm{x}}^2\mathrm{y}-16{\mathrm{y}}^2-10{\mathrm{x}}^2+8{\mathrm{xy}}^2 \end{gathered}$$