For this case we have the following expression:
[tex](15x ^ 2 + 11y ^ 2 + 8x) - (7x ^ 2 + 5y ^ 2 + 2x) =[/tex]
We eliminate the parentheses taking into account that:
[tex]- * + = -\\15x ^ 2 + 11y ^ 2 + 8x-7x ^ 2-5y ^ 2-2x[/tex]
We add similar terms:
[tex]15x ^ 2-7x ^ 2 + 11y ^ 2-5y ^ 2 + 8x-2x =[/tex]
Different signs are subtracted and the sign of the major is placed:
[tex]8x ^ 2 + 6y ^ 2 + 6x[/tex]
Finally, the expression is reduced to:
[tex]8x ^ 2 + 6y ^ 2 + 6x[/tex]
Answer:
[tex]8x ^ 2 + 6y ^ 2 + 6x[/tex]
Option B
