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