how do you solve 13y^2-5yx-8x^2
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 \(y^{2}\)- 5yx -8\(x^{2}\)
we can solve above equation by using splitting the middle term
we can factorize it by splitting the middle term
13 \(y^{2}\)- 5yx -8\(x^{2}\)
=13 \(y^{2}\)- 13yx+8yx -8\(x^{2}\)
=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)