Respuesta :

Option B gives the correct answer.

The solution is listed below:

[tex](5 x^{2} -4x-1)(7 x^{2} +9x+8) \\ \\ =5 x^{2} (7 x^{2} +9x+8)-4x(7 x^{2} +9x+8)-1(7 x^{2} +9x+8) \\ \\ =35 x^{4}+45 x^{3}+40 x^{2} -28 x^{3}-36 x^{2} -32x-7 x^{2} -9x-8 \\ \\ =35 x^{4}+17 x^{3}-3 x^{2} -41x-8 [/tex]
We have the following expressions:
 (5x2-4x-1) (7x2 + 9x + 8)
 Resolving we have:
 (35x4-28x3-7x2) + (45x3-36x2-9x) + (40x2-32x-8)
 Adding similar terms we have:
 (35x4 + 17x3-3x2-41x-8)
 Answer:
 
The solution for this case is given by:
 
(35x4 + 17x3-3x2-41x-8)