Respuesta :
Answer: [tex](2m+n)(3m+11n)[/tex]
Step-by-step explanation:
[tex]a(x-\dfrac{-b-\sqrt{b^2-4ac} }{2a} )[/tex]
[tex]a(x+\dfrac{-b-\sqrt{b^2-4ac} }{2a} )[/tex]
[tex]6(m-\dfrac{-25n+\sqrt{(25n)^2-4*6*11n^2} }{2*6} )[/tex] [tex]6(m+\dfrac{-25n+\sqrt{(25n)^2-4*6*11n^2} }{2*6} )[/tex]
[tex](2m+n)(3m+11n)[/tex]
Answer:
(3m+11n)(2m+n)
Step-by-step explanation:
We have given a expression.
6m²+25mn+11n²
We have to factorize above expression.
Splitting the middle term of above expression so that the sum of two terms should be 25 and their product be 66.
6m²+22mn+3mn+11n²
Making groups, we have
2m(3m+11n)+n(3m+11n)
Taking 3m+11n as common, we have
(3m+11n)(2m+n) which is the answer.