Mathematics

a⁴+b⁴=a²b² ,prove that a⁶+b⁶=0


Answers

yassautumn

4 years ago Comment

Best answer

[latex]a^4+b^4=a^2b^2\\ a^4-a^2b^2+b^4=0\\ a^4-2a^2b^2+b^4+a^2b^2=0\\ (a^2+b^2)^2=-a^2b^2[/latex]

The only possible option is that [latex]a^2+b^2=0 \wedge a^2b^2=0\\[/latex] and this condition is met only when [latex]a=0 \wedge b=0[/latex].

[latex]0^6+0^6=0\\ 0=0[/latex]