The value of the coefficient B will be 9.
What will be the value of B in equation written below?
2(x+By)(x-2y)
=2(x^2 -2xy +Bxy -2By^2)
=2x^2 -4xy + 2Bxy - 4By^2
The original form is [tex]\d2x^{2} +14x-36y^{2}[/tex]
[tex]2(x+By)(x-2y)\\\ =2(x^2 -2xy +Bxy -2By^2)\\\\ =2x^2 -4xy + 2Bxy - 4By^2\\\\2x^2 + 14xy - 36y^2\\\\ -36y^2 = -4By^2B= 9\\\\ -4xy +2Bxy= 14xy\\\\xy(-4 +2B)= 14xy\\\\ -4 + 2B = 14\\\\ 2B = 18\\\ B=9[/tex]
hence the value of B=9
To know more about trinomial follow
https://brainly.com/question/1538726
