Does x^2 + x^2 equal x^3
You asked:
Prove or disprove that the equation $x^{2} + x^{2} = x^{3}$ is an identity.
MathBot Answer:
The left-hand side of the equation evaluates to:
\[\begin{align*}& x^{2} + x^{2}\\=& 2 x^{2}\\\end{align*}\]The right-hand side of the equation evaluates to:
\[\begin{align*}& x^{3}\\\end{align*}\]Since $2 x^{2} \ne x^{3}$, the equation $x^{2} + x^{2} = x^{3}$ is not an identity.