The top row contains the product of [tex] x^{2} [/tex] with each term of the expressions [tex] x^{6}+ x^{4}+ x^{2} [/tex] and bottom row contains the product of -1 with each term of expression [tex] x^{6}+ x^{4}+ x^{2} [/tex] .
The final result will be the sum of terms of both rows as shown below:
[tex]( x^{6}+ x^{4} + x^{2} )( x^{2} -1) \\ \\
= x^{2} ( x^{6}+ x^{4} + x^{2} )-1( x^{6}+ x^{4} + x^{2} ) \\ \\
= x^{8}+ x^{6}+ x^{4}- x^{6}- x^{4}- x^{2} \\ \\
= x^{8}- x^{2} [/tex]
So the correct answer is option D
