For this case we must find the product of:
[tex](7m ^ 2-3m-7) (m ^ 2-7m-6)[/tex]
For this, we must apply distributive property, which by definition establishes:
[tex](a + b) (c + d) = ac + ad + bc + bd[/tex]
So, we have:
[tex](7m ^ 2-3m-7) (m ^ 2-7m-6) =\\(7m ^ 2 * m ^ 2) + (7m ^ 2 * -7m) + (7m ^ 2 * -6) + (- 3m * m ^ 2) + (- 3m * -7m) + (- 3m * - 6) + (- 7 * m ^ 2) + (- 7 * -7m) + (- 7 * -6) =\\7m ^ 4-49m ^ 3-42m ^ 2-3m ^ 3 + 21m ^ 2 + 18m-7m ^ 2 + 49m + 42 =[/tex]
Adding similar terms we have:
[tex]7m ^ 4-52m ^ 3-28m ^ 2 + 67m + 42[/tex]
So, we have to:
[tex](7m ^ 2-3m-7) (m ^ 2-7m-6) =7m ^ 4-52m ^ 3-28m ^ 2 + 67m + 42[/tex]
Answer:
Option C
