Question

Hey:) can you please help me posted picture of question

Answer 1

The top row contains the product of $x^{2}$ with each term of the expressions $x^{6}+ x^{4}+ x^{2}$ and bottom row contains the product of -1 with each term of expression $x^{6}+ x^{4}+ x^{2}$ .

The final result will be the sum of terms of both rows as shown below:

$( x^{6}+ x^{4} + x^{2} )( x^{2} -1) \\ \\ = x^{2} ( x^{6}+ x^{4} + x^{2} )-1( x^{6}+ x^{4} + x^{2} ) \\ \\ = x^{8}+ x^{6}+ x^{4}- x^{6}- x^{4}- x^{2} \\ \\ = x^{8}- x^{2}$

So the correct answer is option D