Question

The sum of ${\mathrm{x}}^2+\mathrm{x}$ and $\mathrm{y}+{\mathrm{y}}^2$ is $2{\mathrm{x}}^2+2{\mathrm{y}}^2$. State whether the statement given is true or false.

• A. True
• B. False

Answer 1

The correct option is B False

Explanation:

We have to add ${\mathrm{x}}^2+\mathrm{x}$ and $\mathrm{y}+{\mathrm{y}}^2$.

$$\begin{gathered} \left({\mathrm{x}}^2+\mathrm{x}\right)+\left(\mathrm{y}+{\mathrm{y}}^2\right) \\ ={\mathrm{x}}^2+\mathrm{x}+\mathrm{y}+{\mathrm{y}}^2 \\ ={\mathrm{x}}^2+{\mathrm{y}}^2+\mathrm{x}+\mathrm{y} \end{gathered}$$

Thus the required answer is ${\mathrm{x}}^2+{\mathrm{y}}^2+\mathrm{x}+\mathrm{y}$

Therefore, the given statement is false.