$${ a }^{ 2 } x- { b }^{ 2 } y+ { b }^{ 2 } x- { a }^{ 2 } y+ { c }^{ 2 } y- { c }^{ 2 } x$$
Factor
$\left(x-y\right)\left(a^{2}+b^{2}-c^{2}\right)$
Solution Steps
Do the grouping $a^{2}x-b^{2}y+b^{2}x-a^{2}y+c^{2}y-c^{2}x=\left(a^{2}x+b^{2}x-c^{2}x\right)+\left(-a^{2}y-b^{2}y+c^{2}y\right)$, and factor out $x$ in the first and $-y$ in the second group.
