Alg6.1.2

From Exampleproblems

Solve $(a^2)(i^{6})+(b^2)(i^{8})\,$

Readjusting the exponents of i in the expression $(a^2)((i^{2})^{3})+(b^2)((i^{2})^{4})\,$

Now Substituting the value of $i^{2}\,$ whose value is $-1\,$

$(a^2)((-1)^{3})+(b^2)((-1)^{4})\,$

The result is $(a^2)(-1)+(b^2)(1)\,$

$b^2-a^2\,$

Further simplifying $(b+a)(b-a)\,$