Answer :

Step  1  :Simplify 13y2-5yx - 23x2 
1.1 
   Factoring    13y2 - 5yx - 8x2 Try to factor this multi-variable trinomial using trial and error  Found a factorization  :  (y - x)•(13y + 8x)
Final result : (y - x) • (13y + 8x)

Answer:

(13y+8)(y-x)

Step-by-step explanation:

13 [tex]y^{2}[/tex]- 5yx -8[tex]x^{2}[/tex]

we can solve above equation by using splitting the middle term

we can factorize it by splitting the middle term

13 [tex]y^{2}[/tex]- 5yx -8[tex]x^{2}[/tex]

=13 [tex]y^{2}[/tex]- 13yx+8yx -8[tex]x^{2}[/tex]

=13y(y-x)+8x(y-x)

=(13y+8)(y-x)

There are the two factors because the degree of the polynomial is 2

Hence, the correct answer is (13y+8)(y-x)